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Finding the Third Proportional to 537,057 and 752,854.50

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Solution

The third proportional to 537,057 and 752,854.50 is: 1,055,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,057 : 752,854.50 = 752,854.50 : x
  2. Step 2: Convert to fraction form
    537,057/752,854.50 = 752,854.50/x
  3. Step 3: Cross multiply
    537,057x = 752,854.50 × 752,854.50
  4. Step 4: Simplify right side
    537,057x = 566,789,898,170.25
  5. Step 5: Solve for x
    x = 566,789,898,170.25/537,057
  6. Step 6: Final answer
    x = 1,055,362.65

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