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Finding the Third Proportional to 721,209.75 and 1,142,017.13

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Solution

The third proportional to 721,209.75 and 1,142,017.13 is: 1,808,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,209.75 : 1,142,017.13 = 1,142,017.13 : x
  2. Step 2: Convert to fraction form
    721,209.75/1,142,017.13 = 1,142,017.13/x
  3. Step 3: Cross multiply
    721,209.75x = 1,142,017.13 × 1,142,017.13
  4. Step 4: Simplify right side
    721,209.75x = 1,304,203,113,793.27
  5. Step 5: Solve for x
    x = 1,304,203,113,793.27/721,209.75
  6. Step 6: Final answer
    x = 1,808,354.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.