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Finding the Third Proportional to 247,004 and 532,408

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Solution

The third proportional to 247,004 and 532,408 is: 1,147,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,004 : 532,408 = 532,408 : x
  2. Step 2: Convert to fraction form
    247,004/532,408 = 532,408/x
  3. Step 3: Cross multiply
    247,004x = 532,408 × 532,408
  4. Step 4: Simplify right side
    247,004x = 283,458,278,464
  5. Step 5: Solve for x
    x = 283,458,278,464/247,004
  6. Step 6: Final answer
    x = 1,147,585.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.