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Finding the Third Proportional to 300,768.71 and 668,784.09

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Solution

The third proportional to 300,768.71 and 668,784.09 is: 1,487,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,768.71 : 668,784.09 = 668,784.09 : x
  2. Step 2: Convert to fraction form
    300,768.71/668,784.09 = 668,784.09/x
  3. Step 3: Cross multiply
    300,768.71x = 668,784.09 × 668,784.09
  4. Step 4: Simplify right side
    300,768.71x = 447,272,164,053.01
  5. Step 5: Solve for x
    x = 447,272,164,053.01/300,768.71
  6. Step 6: Final answer
    x = 1,487,096.70

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.