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Finding the Third Proportional to 316,861.88 and 704,565.84

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Solution

The third proportional to 316,861.88 and 704,565.84 is: 1,566,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,861.88 : 704,565.84 = 704,565.84 : x
  2. Step 2: Convert to fraction form
    316,861.88/704,565.84 = 704,565.84/x
  3. Step 3: Cross multiply
    316,861.88x = 704,565.84 × 704,565.84
  4. Step 4: Simplify right side
    316,861.88x = 496,413,028,179.15
  5. Step 5: Solve for x
    x = 496,413,028,179.15/316,861.88
  6. Step 6: Final answer
    x = 1,566,654.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.