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Finding the Third Proportional to 498,868.50 and 760,758

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Solution

The third proportional to 498,868.50 and 760,758 is: 1,160,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,868.50 : 760,758 = 760,758 : x
  2. Step 2: Convert to fraction form
    498,868.50/760,758 = 760,758/x
  3. Step 3: Cross multiply
    498,868.50x = 760,758 × 760,758
  4. Step 4: Simplify right side
    498,868.50x = 578,752,734,564
  5. Step 5: Solve for x
    x = 578,752,734,564/498,868.50
  6. Step 6: Final answer
    x = 1,160,130.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.