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Finding the Third Proportional to 261,770 and 565,326

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Solution

The third proportional to 261,770 and 565,326 is: 1,220,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,770 : 565,326 = 565,326 : x
  2. Step 2: Convert to fraction form
    261,770/565,326 = 565,326/x
  3. Step 3: Cross multiply
    261,770x = 565,326 × 565,326
  4. Step 4: Simplify right side
    261,770x = 319,593,486,276
  5. Step 5: Solve for x
    x = 319,593,486,276/261,770
  6. Step 6: Final answer
    x = 1,220,894.24

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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.