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Finding the Third Proportional to 247,566 and 528,540

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Solution

The third proportional to 247,566 and 528,540 is: 1,128,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,566 : 528,540 = 528,540 : x
  2. Step 2: Convert to fraction form
    247,566/528,540 = 528,540/x
  3. Step 3: Cross multiply
    247,566x = 528,540 × 528,540
  4. Step 4: Simplify right side
    247,566x = 279,354,531,600
  5. Step 5: Solve for x
    x = 279,354,531,600/247,566
  6. Step 6: Final answer
    x = 1,128,404.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.