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Finding the Third Proportional to 261,926 and 565,586

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Solution

The third proportional to 261,926 and 565,586 is: 1,221,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,926 : 565,586 = 565,586 : x
  2. Step 2: Convert to fraction form
    261,926/565,586 = 565,586/x
  3. Step 3: Cross multiply
    261,926x = 565,586 × 565,586
  4. Step 4: Simplify right side
    261,926x = 319,887,523,396
  5. Step 5: Solve for x
    x = 319,887,523,396/261,926
  6. Step 6: Final answer
    x = 1,221,289.69

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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.