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Finding the Third Proportional to 261,810 and 565,394

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Solution

The third proportional to 261,810 and 565,394 is: 1,221,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810 : 565,394 = 565,394 : x
  2. Step 2: Convert to fraction form
    261,810/565,394 = 565,394/x
  3. Step 3: Cross multiply
    261,810x = 565,394 × 565,394
  4. Step 4: Simplify right side
    261,810x = 319,670,375,236
  5. Step 5: Solve for x
    x = 319,670,375,236/261,810
  6. Step 6: Final answer
    x = 1,221,001.40

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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.