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Finding the Third Proportional to 486,125.25 and 735,904.13

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Solution

The third proportional to 486,125.25 and 735,904.13 is: 1,114,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,125.25 : 735,904.13 = 735,904.13 : x
  2. Step 2: Convert to fraction form
    486,125.25/735,904.13 = 735,904.13/x
  3. Step 3: Cross multiply
    486,125.25x = 735,904.13 × 735,904.13
  4. Step 4: Simplify right side
    486,125.25x = 541,554,881,192.02
  5. Step 5: Solve for x
    x = 541,554,881,192.02/486,125.25
  6. Step 6: Final answer
    x = 1,114,023.35

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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.