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Finding the Third Proportional to 498,868 and 760,756

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Solution

The third proportional to 498,868 and 760,756 is: 1,160,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,868 : 760,756 = 760,756 : x
  2. Step 2: Convert to fraction form
    498,868/760,756 = 760,756/x
  3. Step 3: Cross multiply
    498,868x = 760,756 × 760,756
  4. Step 4: Simplify right side
    498,868x = 578,749,691,536
  5. Step 5: Solve for x
    x = 578,749,691,536/498,868
  6. Step 6: Final answer
    x = 1,160,125.91

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Why These Related Problems?

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