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Finding the Third Proportional to 261,692 and 564,832

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Solution

The third proportional to 261,692 and 564,832 is: 1,219,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,692 : 564,832 = 564,832 : x
  2. Step 2: Convert to fraction form
    261,692/564,832 = 564,832/x
  3. Step 3: Cross multiply
    261,692x = 564,832 × 564,832
  4. Step 4: Simplify right side
    261,692x = 319,035,188,224
  5. Step 5: Solve for x
    x = 319,035,188,224/261,692
  6. Step 6: Final answer
    x = 1,219,124.73

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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.