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Finding the Third Proportional to 261,926 and 571,830

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Solution

The third proportional to 261,926 and 571,830 is: 1,248,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,926 : 571,830 = 571,830 : x
  2. Step 2: Convert to fraction form
    261,926/571,830 = 571,830/x
  3. Step 3: Cross multiply
    261,926x = 571,830 × 571,830
  4. Step 4: Simplify right side
    261,926x = 326,989,548,900
  5. Step 5: Solve for x
    x = 326,989,548,900/261,926
  6. Step 6: Final answer
    x = 1,248,404.32

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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.