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Finding the Third Proportional to 261,910 and 571,799

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Solution

The third proportional to 261,910 and 571,799 is: 1,248,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,910 : 571,799 = 571,799 : x
  2. Step 2: Convert to fraction form
    261,910/571,799 = 571,799/x
  3. Step 3: Cross multiply
    261,910x = 571,799 × 571,799
  4. Step 4: Simplify right side
    261,910x = 326,954,096,401
  5. Step 5: Solve for x
    x = 326,954,096,401/261,910
  6. Step 6: Final answer
    x = 1,248,345.22

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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.