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Finding the Third Proportional to 582,562.13 and 904,119.47

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Solution

The third proportional to 582,562.13 and 904,119.47 is: 1,403,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,562.13 : 904,119.47 = 904,119.47 : x
  2. Step 2: Convert to fraction form
    582,562.13/904,119.47 = 904,119.47/x
  3. Step 3: Cross multiply
    582,562.13x = 904,119.47 × 904,119.47
  4. Step 4: Simplify right side
    582,562.13x = 817,432,013,772.78
  5. Step 5: Solve for x
    x = 817,432,013,772.78/582,562.13
  6. Step 6: Final answer
    x = 1,403,167.11

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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.