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Finding the Third Proportional to 247,560 and 528,524

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Solution

The third proportional to 247,560 and 528,524 is: 1,128,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,560 : 528,524 = 528,524 : x
  2. Step 2: Convert to fraction form
    247,560/528,524 = 528,524/x
  3. Step 3: Cross multiply
    247,560x = 528,524 × 528,524
  4. Step 4: Simplify right side
    247,560x = 279,337,618,576
  5. Step 5: Solve for x
    x = 279,337,618,576/247,560
  6. Step 6: Final answer
    x = 1,128,363.30

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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.