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Finding the Third Proportional to 243,680 and 564,084

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Solution

The third proportional to 243,680 and 564,084 is: 1,305,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,680 : 564,084 = 564,084 : x
  2. Step 2: Convert to fraction form
    243,680/564,084 = 564,084/x
  3. Step 3: Cross multiply
    243,680x = 564,084 × 564,084
  4. Step 4: Simplify right side
    243,680x = 318,190,759,056
  5. Step 5: Solve for x
    x = 318,190,759,056/243,680
  6. Step 6: Final answer
    x = 1,305,772.98

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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.