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Finding the Third Proportional to 243,698 and 564,116

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Solution

The third proportional to 243,698 and 564,116 is: 1,305,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,698 : 564,116 = 564,116 : x
  2. Step 2: Convert to fraction form
    243,698/564,116 = 564,116/x
  3. Step 3: Cross multiply
    243,698x = 564,116 × 564,116
  4. Step 4: Simplify right side
    243,698x = 318,226,861,456
  5. Step 5: Solve for x
    x = 318,226,861,456/243,698
  6. Step 6: Final answer
    x = 1,305,824.67

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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.