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Finding the Third Proportional to 498,861.38 and 760,746.75

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Solution

The third proportional to 498,861.38 and 760,746.75 is: 1,160,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,861.38 : 760,746.75 = 760,746.75 : x
  2. Step 2: Convert to fraction form
    498,861.38/760,746.75 = 760,746.75/x
  3. Step 3: Cross multiply
    498,861.38x = 760,746.75 × 760,746.75
  4. Step 4: Simplify right side
    498,861.38x = 578,735,617,635.56
  5. Step 5: Solve for x
    x = 578,735,617,635.56/498,861.38
  6. Step 6: Final answer
    x = 1,160,113.10

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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.