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Finding the Third Proportional to 258,957 and 564,996

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Solution

The third proportional to 258,957 and 564,996 is: 1,232,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,957 : 564,996 = 564,996 : x
  2. Step 2: Convert to fraction form
    258,957/564,996 = 564,996/x
  3. Step 3: Cross multiply
    258,957x = 564,996 × 564,996
  4. Step 4: Simplify right side
    258,957x = 319,220,480,016
  5. Step 5: Solve for x
    x = 319,220,480,016/258,957
  6. Step 6: Final answer
    x = 1,232,716.17

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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.