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Finding the Third Proportional to 243,692 and 564,114

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Solution

The third proportional to 243,692 and 564,114 is: 1,305,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,692 : 564,114 = 564,114 : x
  2. Step 2: Convert to fraction form
    243,692/564,114 = 564,114/x
  3. Step 3: Cross multiply
    243,692x = 564,114 × 564,114
  4. Step 4: Simplify right side
    243,692x = 318,224,604,996
  5. Step 5: Solve for x
    x = 318,224,604,996/243,692
  6. Step 6: Final answer
    x = 1,305,847.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.