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Finding the Third Proportional to 261,705 and 571,026

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Solution

The third proportional to 261,705 and 571,026 is: 1,245,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,705 : 571,026 = 571,026 : x
  2. Step 2: Convert to fraction form
    261,705/571,026 = 571,026/x
  3. Step 3: Cross multiply
    261,705x = 571,026 × 571,026
  4. Step 4: Simplify right side
    261,705x = 326,070,692,676
  5. Step 5: Solve for x
    x = 326,070,692,676/261,705
  6. Step 6: Final answer
    x = 1,245,947.51

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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.