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Finding the Third Proportional to 537,066.75 and 752,860.13

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Solution

The third proportional to 537,066.75 and 752,860.13 is: 1,055,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,066.75 : 752,860.13 = 752,860.13 : x
  2. Step 2: Convert to fraction form
    537,066.75/752,860.13 = 752,860.13/x
  3. Step 3: Cross multiply
    537,066.75x = 752,860.13 × 752,860.13
  4. Step 4: Simplify right side
    537,066.75x = 566,798,367,815.02
  5. Step 5: Solve for x
    x = 566,798,367,815.02/537,066.75
  6. Step 6: Final answer
    x = 1,055,359.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.