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Finding the Third Proportional to 401,658.75 and 869,437.13

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Solution

The third proportional to 401,658.75 and 869,437.13 is: 1,881,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,658.75 : 869,437.13 = 869,437.13 : x
  2. Step 2: Convert to fraction form
    401,658.75/869,437.13 = 869,437.13/x
  3. Step 3: Cross multiply
    401,658.75x = 869,437.13 × 869,437.13
  4. Step 4: Simplify right side
    401,658.75x = 755,920,914,328.27
  5. Step 5: Solve for x
    x = 755,920,914,328.27/401,658.75
  6. Step 6: Final answer
    x = 1,881,997.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.