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Finding the Third Proportional to 352,144 and 545,504

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Solution

The third proportional to 352,144 and 545,504 is: 845,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,144 : 545,504 = 545,504 : x
  2. Step 2: Convert to fraction form
    352,144/545,504 = 545,504/x
  3. Step 3: Cross multiply
    352,144x = 545,504 × 545,504
  4. Step 4: Simplify right side
    352,144x = 297,574,614,016
  5. Step 5: Solve for x
    x = 297,574,614,016/352,144
  6. Step 6: Final answer
    x = 845,036.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.