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Finding the Third Proportional to 231,663 and 502,561.50

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Solution

The third proportional to 231,663 and 502,561.50 is: 1,090,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,663 : 502,561.50 = 502,561.50 : x
  2. Step 2: Convert to fraction form
    231,663/502,561.50 = 502,561.50/x
  3. Step 3: Cross multiply
    231,663x = 502,561.50 × 502,561.50
  4. Step 4: Simplify right side
    231,663x = 252,568,061,282.25
  5. Step 5: Solve for x
    x = 252,568,061,282.25/231,663
  6. Step 6: Final answer
    x = 1,090,239.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.