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Finding the Third Proportional to 261,798 and 565,372

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Solution

The third proportional to 261,798 and 565,372 is: 1,220,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,798 : 565,372 = 565,372 : x
  2. Step 2: Convert to fraction form
    261,798/565,372 = 565,372/x
  3. Step 3: Cross multiply
    261,798x = 565,372 × 565,372
  4. Step 4: Simplify right side
    261,798x = 319,645,498,384
  5. Step 5: Solve for x
    x = 319,645,498,384/261,798
  6. Step 6: Final answer
    x = 1,220,962.34

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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.