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Finding the Third Proportional to 247,384 and 529,748

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Solution

The third proportional to 247,384 and 529,748 is: 1,134,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,384 : 529,748 = 529,748 : x
  2. Step 2: Convert to fraction form
    247,384/529,748 = 529,748/x
  3. Step 3: Cross multiply
    247,384x = 529,748 × 529,748
  4. Step 4: Simplify right side
    247,384x = 280,632,943,504
  5. Step 5: Solve for x
    x = 280,632,943,504/247,384
  6. Step 6: Final answer
    x = 1,134,402.16

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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.