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Finding the Third Proportional to 243,706 and 564,137

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Solution

The third proportional to 243,706 and 564,137 is: 1,305,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,706 : 564,137 = 564,137 : x
  2. Step 2: Convert to fraction form
    243,706/564,137 = 564,137/x
  3. Step 3: Cross multiply
    243,706x = 564,137 × 564,137
  4. Step 4: Simplify right side
    243,706x = 318,250,554,769
  5. Step 5: Solve for x
    x = 318,250,554,769/243,706
  6. Step 6: Final answer
    x = 1,305,879.03

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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.