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Finding the Third Proportional to 464,996.53 and 658,151.16

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Solution

The third proportional to 464,996.53 and 658,151.16 is: 931,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,996.53 : 658,151.16 = 658,151.16 : x
  2. Step 2: Convert to fraction form
    464,996.53/658,151.16 = 658,151.16/x
  3. Step 3: Cross multiply
    464,996.53x = 658,151.16 × 658,151.16
  4. Step 4: Simplify right side
    464,996.53x = 433,162,944,473.21
  5. Step 5: Solve for x
    x = 433,162,944,473.21/464,996.53
  6. Step 6: Final answer
    x = 931,540.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.