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Finding the Third Proportional to 498,943.13 and 767,790.56

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Solution

The third proportional to 498,943.13 and 767,790.56 is: 1,181,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,943.13 : 767,790.56 = 767,790.56 : x
  2. Step 2: Convert to fraction form
    498,943.13/767,790.56 = 767,790.56/x
  3. Step 3: Cross multiply
    498,943.13x = 767,790.56 × 767,790.56
  4. Step 4: Simplify right side
    498,943.13x = 589,502,347,864.07
  5. Step 5: Solve for x
    x = 589,502,347,864.07/498,943.13
  6. Step 6: Final answer
    x = 1,181,502.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.