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Finding the Third Proportional to 316,642.88 and 473,383.88

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Solution

The third proportional to 316,642.88 and 473,383.88 is: 707,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,642.88 : 473,383.88 = 473,383.88 : x
  2. Step 2: Convert to fraction form
    316,642.88/473,383.88 = 473,383.88/x
  3. Step 3: Cross multiply
    316,642.88x = 473,383.88 × 473,383.88
  4. Step 4: Simplify right side
    316,642.88x = 224,092,293,110.02
  5. Step 5: Solve for x
    x = 224,092,293,110.02/316,642.88
  6. Step 6: Final answer
    x = 707,713.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.