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Finding the Third Proportional to 261,600 and 564,648

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Solution

The third proportional to 261,600 and 564,648 is: 1,218,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,600 : 564,648 = 564,648 : x
  2. Step 2: Convert to fraction form
    261,600/564,648 = 564,648/x
  3. Step 3: Cross multiply
    261,600x = 564,648 × 564,648
  4. Step 4: Simplify right side
    261,600x = 318,827,363,904
  5. Step 5: Solve for x
    x = 318,827,363,904/261,600
  6. Step 6: Final answer
    x = 1,218,759.04

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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.