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Finding the Third Proportional to 264,332 and 571,675

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Solution

The third proportional to 264,332 and 571,675 is: 1,236,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,332 : 571,675 = 571,675 : x
  2. Step 2: Convert to fraction form
    264,332/571,675 = 571,675/x
  3. Step 3: Cross multiply
    264,332x = 571,675 × 571,675
  4. Step 4: Simplify right side
    264,332x = 326,812,305,625
  5. Step 5: Solve for x
    x = 326,812,305,625/264,332
  6. Step 6: Final answer
    x = 1,236,370.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.