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Finding the Third Proportional to 464,869.13 and 665,470.69

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Solution

The third proportional to 464,869.13 and 665,470.69 is: 952,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,869.13 : 665,470.69 = 665,470.69 : x
  2. Step 2: Convert to fraction form
    464,869.13/665,470.69 = 665,470.69/x
  3. Step 3: Cross multiply
    464,869.13x = 665,470.69 × 665,470.69
  4. Step 4: Simplify right side
    464,869.13x = 442,851,235,921.72
  5. Step 5: Solve for x
    x = 442,851,235,921.72/464,869.13
  6. Step 6: Final answer
    x = 952,636.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.