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Finding the Third Proportional to 323,398.13 and 680,308.88

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Solution

The third proportional to 323,398.13 and 680,308.88 is: 1,431,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,398.13 : 680,308.88 = 680,308.88 : x
  2. Step 2: Convert to fraction form
    323,398.13/680,308.88 = 680,308.88/x
  3. Step 3: Cross multiply
    323,398.13x = 680,308.88 × 680,308.88
  4. Step 4: Simplify right side
    323,398.13x = 462,820,165,403.77
  5. Step 5: Solve for x
    x = 462,820,165,403.77/323,398.13
  6. Step 6: Final answer
    x = 1,431,115.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.