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Finding the Third Proportional to 316,874 and 704,599

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Solution

The third proportional to 316,874 and 704,599 is: 1,566,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,874 : 704,599 = 704,599 : x
  2. Step 2: Convert to fraction form
    316,874/704,599 = 704,599/x
  3. Step 3: Cross multiply
    316,874x = 704,599 × 704,599
  4. Step 4: Simplify right side
    316,874x = 496,459,750,801
  5. Step 5: Solve for x
    x = 496,459,750,801/316,874
  6. Step 6: Final answer
    x = 1,566,741.83

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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.