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Finding the Third Proportional to 392,898,784.50 and 654,791,843.25

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Solution

The third proportional to 392,898,784.50 and 654,791,843.25 is: 1,091,253,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898,784.50 : 654,791,843.25 = 654,791,843.25 : x
  2. Step 2: Convert to fraction form
    392,898,784.50/654,791,843.25 = 654,791,843.25/x
  3. Step 3: Cross multiply
    392,898,784.50x = 654,791,843.25 × 654,791,843.25
  4. Step 4: Simplify right side
    392,898,784.50x = 428,752,357,986,732,544
  5. Step 5: Solve for x
    x = 428,752,357,986,732,544/392,898,784.50
  6. Step 6: Final answer
    x = 1,091,253,968.96

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.