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Finding the Third Proportional to 482,781.94 and 730,387.69

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Solution

The third proportional to 482,781.94 and 730,387.69 is: 1,104,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,781.94 : 730,387.69 = 730,387.69 : x
  2. Step 2: Convert to fraction form
    482,781.94/730,387.69 = 730,387.69/x
  3. Step 3: Cross multiply
    482,781.94x = 730,387.69 × 730,387.69
  4. Step 4: Simplify right side
    482,781.94x = 533,466,174,051.60
  5. Step 5: Solve for x
    x = 533,466,174,051.60/482,781.94
  6. Step 6: Final answer
    x = 1,104,983.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.