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Finding the Third Proportional to 262,524 and 572,564

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Solution

The third proportional to 262,524 and 572,564 is: 1,248,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,524 : 572,564 = 572,564 : x
  2. Step 2: Convert to fraction form
    262,524/572,564 = 572,564/x
  3. Step 3: Cross multiply
    262,524x = 572,564 × 572,564
  4. Step 4: Simplify right side
    262,524x = 327,829,534,096
  5. Step 5: Solve for x
    x = 327,829,534,096/262,524
  6. Step 6: Final answer
    x = 1,248,760.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.