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Finding the Third Proportional to 247,347 and 529,677

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Solution

The third proportional to 247,347 and 529,677 is: 1,134,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,347 : 529,677 = 529,677 : x
  2. Step 2: Convert to fraction form
    247,347/529,677 = 529,677/x
  3. Step 3: Cross multiply
    247,347x = 529,677 × 529,677
  4. Step 4: Simplify right side
    247,347x = 280,557,724,329
  5. Step 5: Solve for x
    x = 280,557,724,329/247,347
  6. Step 6: Final answer
    x = 1,134,267.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.