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Finding the Third Proportional to 499,501.69 and 779,893.31

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Solution

The third proportional to 499,501.69 and 779,893.31 is: 1,217,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,501.69 : 779,893.31 = 779,893.31 : x
  2. Step 2: Convert to fraction form
    499,501.69/779,893.31 = 779,893.31/x
  3. Step 3: Cross multiply
    499,501.69x = 779,893.31 × 779,893.31
  4. Step 4: Simplify right side
    499,501.69x = 608,233,578,882.22
  5. Step 5: Solve for x
    x = 608,233,578,882.22/499,501.69
  6. Step 6: Final answer
    x = 1,217,680.73

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.