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Finding the Third Proportional to 261,576 and 564,984

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Solution

The third proportional to 261,576 and 564,984 is: 1,220,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,576 : 564,984 = 564,984 : x
  2. Step 2: Convert to fraction form
    261,576/564,984 = 564,984/x
  3. Step 3: Cross multiply
    261,576x = 564,984 × 564,984
  4. Step 4: Simplify right side
    261,576x = 319,206,920,256
  5. Step 5: Solve for x
    x = 319,206,920,256/261,576
  6. Step 6: Final answer
    x = 1,220,321.90

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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.