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Finding the Third Proportional to 261,414 and 572,670

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Solution

The third proportional to 261,414 and 572,670 is: 1,254,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,414 : 572,670 = 572,670 : x
  2. Step 2: Convert to fraction form
    261,414/572,670 = 572,670/x
  3. Step 3: Cross multiply
    261,414x = 572,670 × 572,670
  4. Step 4: Simplify right side
    261,414x = 327,950,928,900
  5. Step 5: Solve for x
    x = 327,950,928,900/261,414
  6. Step 6: Final answer
    x = 1,254,527.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.