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Finding the Third Proportional to 260,658 and 567,972

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Solution

The third proportional to 260,658 and 567,972 is: 1,237,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,658 : 567,972 = 567,972 : x
  2. Step 2: Convert to fraction form
    260,658/567,972 = 567,972/x
  3. Step 3: Cross multiply
    260,658x = 567,972 × 567,972
  4. Step 4: Simplify right side
    260,658x = 322,592,192,784
  5. Step 5: Solve for x
    x = 322,592,192,784/260,658
  6. Step 6: Final answer
    x = 1,237,607.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.