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Finding the Third Proportional to 262,527 and 572,567

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Solution

The third proportional to 262,527 and 572,567 is: 1,248,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,527 : 572,567 = 572,567 : x
  2. Step 2: Convert to fraction form
    262,527/572,567 = 572,567/x
  3. Step 3: Cross multiply
    262,527x = 572,567 × 572,567
  4. Step 4: Simplify right side
    262,527x = 327,832,969,489
  5. Step 5: Solve for x
    x = 327,832,969,489/262,527
  6. Step 6: Final answer
    x = 1,248,759.06

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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.