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Finding the Third Proportional to 308,024 and 666,592

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Solution

The third proportional to 308,024 and 666,592 is: 1,442,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,024 : 666,592 = 666,592 : x
  2. Step 2: Convert to fraction form
    308,024/666,592 = 666,592/x
  3. Step 3: Cross multiply
    308,024x = 666,592 × 666,592
  4. Step 4: Simplify right side
    308,024x = 444,344,894,464
  5. Step 5: Solve for x
    x = 444,344,894,464/308,024
  6. Step 6: Final answer
    x = 1,442,565.82

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Why These Related Problems?

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