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Finding the Third Proportional to 309,593.25 and 472,397.41

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Solution

The third proportional to 309,593.25 and 472,397.41 is: 720,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,593.25 : 472,397.41 = 472,397.41 : x
  2. Step 2: Convert to fraction form
    309,593.25/472,397.41 = 472,397.41/x
  3. Step 3: Cross multiply
    309,593.25x = 472,397.41 × 472,397.41
  4. Step 4: Simplify right side
    309,593.25x = 223,159,316,812.94
  5. Step 5: Solve for x
    x = 223,159,316,812.94/309,593.25
  6. Step 6: Final answer
    x = 720,814.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.