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Finding the Third Proportional to 261,795 and 564,774

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Solution

The third proportional to 261,795 and 564,774 is: 1,218,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,795 : 564,774 = 564,774 : x
  2. Step 2: Convert to fraction form
    261,795/564,774 = 564,774/x
  3. Step 3: Cross multiply
    261,795x = 564,774 × 564,774
  4. Step 4: Simplify right side
    261,795x = 318,969,671,076
  5. Step 5: Solve for x
    x = 318,969,671,076/261,795
  6. Step 6: Final answer
    x = 1,218,394.82

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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.