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Finding the Third Proportional to 482,355 and 662,023.13

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Solution

The third proportional to 482,355 and 662,023.13 is: 908,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,355 : 662,023.13 = 662,023.13 : x
  2. Step 2: Convert to fraction form
    482,355/662,023.13 = 662,023.13/x
  3. Step 3: Cross multiply
    482,355x = 662,023.13 × 662,023.13
  4. Step 4: Simplify right side
    482,355x = 438,274,618,034.77
  5. Step 5: Solve for x
    x = 438,274,618,034.77/482,355
  6. Step 6: Final answer
    x = 908,614.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.