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Finding the Third Proportional to 316,522.69 and 732,121.03

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Solution

The third proportional to 316,522.69 and 732,121.03 is: 1,693,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,522.69 : 732,121.03 = 732,121.03 : x
  2. Step 2: Convert to fraction form
    316,522.69/732,121.03 = 732,121.03/x
  3. Step 3: Cross multiply
    316,522.69x = 732,121.03 × 732,121.03
  4. Step 4: Simplify right side
    316,522.69x = 536,001,204,398.56
  5. Step 5: Solve for x
    x = 536,001,204,398.56/316,522.69
  6. Step 6: Final answer
    x = 1,693,405.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.