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Finding the Third Proportional to 261,034 and 563,540

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Solution

The third proportional to 261,034 and 563,540 is: 1,216,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,034 : 563,540 = 563,540 : x
  2. Step 2: Convert to fraction form
    261,034/563,540 = 563,540/x
  3. Step 3: Cross multiply
    261,034x = 563,540 × 563,540
  4. Step 4: Simplify right side
    261,034x = 317,577,331,600
  5. Step 5: Solve for x
    x = 317,577,331,600/261,034
  6. Step 6: Final answer
    x = 1,216,612.90

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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.