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Finding the Third Proportional to 498,859.13 and 760,743.38

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Solution

The third proportional to 498,859.13 and 760,743.38 is: 1,160,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,859.13 : 760,743.38 = 760,743.38 : x
  2. Step 2: Convert to fraction form
    498,859.13/760,743.38 = 760,743.38/x
  3. Step 3: Cross multiply
    498,859.13x = 760,743.38 × 760,743.38
  4. Step 4: Simplify right side
    498,859.13x = 578,730,482,606.39
  5. Step 5: Solve for x
    x = 578,730,482,606.39/498,859.13
  6. Step 6: Final answer
    x = 1,160,108.04

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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.