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Finding the Third Proportional to 498,392 and 745,524

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Solution

The third proportional to 498,392 and 745,524 is: 1,115,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,392 : 745,524 = 745,524 : x
  2. Step 2: Convert to fraction form
    498,392/745,524 = 745,524/x
  3. Step 3: Cross multiply
    498,392x = 745,524 × 745,524
  4. Step 4: Simplify right side
    498,392x = 555,806,034,576
  5. Step 5: Solve for x
    x = 555,806,034,576/498,392
  6. Step 6: Final answer
    x = 1,115,198.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.