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Finding the Third Proportional to 261,900 and 571,780

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Solution

The third proportional to 261,900 and 571,780 is: 1,248,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,900 : 571,780 = 571,780 : x
  2. Step 2: Convert to fraction form
    261,900/571,780 = 571,780/x
  3. Step 3: Cross multiply
    261,900x = 571,780 × 571,780
  4. Step 4: Simplify right side
    261,900x = 326,932,368,400
  5. Step 5: Solve for x
    x = 326,932,368,400/261,900
  6. Step 6: Final answer
    x = 1,248,309.92

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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.