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Finding the Third Proportional to 498,854.25 and 760,736.25

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Solution

The third proportional to 498,854.25 and 760,736.25 is: 1,160,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,854.25 : 760,736.25 = 760,736.25 : x
  2. Step 2: Convert to fraction form
    498,854.25/760,736.25 = 760,736.25/x
  3. Step 3: Cross multiply
    498,854.25x = 760,736.25 × 760,736.25
  4. Step 4: Simplify right side
    498,854.25x = 578,719,642,064.06
  5. Step 5: Solve for x
    x = 578,719,642,064.06/498,854.25
  6. Step 6: Final answer
    x = 1,160,097.65

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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.