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Finding the Third Proportional to 468,207.75 and 701,029.13

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Solution

The third proportional to 468,207.75 and 701,029.13 is: 1,049,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,207.75 : 701,029.13 = 701,029.13 : x
  2. Step 2: Convert to fraction form
    468,207.75/701,029.13 = 701,029.13/x
  3. Step 3: Cross multiply
    468,207.75x = 701,029.13 × 701,029.13
  4. Step 4: Simplify right side
    468,207.75x = 491,441,834,098.27
  5. Step 5: Solve for x
    x = 491,441,834,098.27/468,207.75
  6. Step 6: Final answer
    x = 1,049,623.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.