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Finding the Third Proportional to 258,942 and 553,866

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Solution

The third proportional to 258,942 and 553,866 is: 1,184,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,942 : 553,866 = 553,866 : x
  2. Step 2: Convert to fraction form
    258,942/553,866 = 553,866/x
  3. Step 3: Cross multiply
    258,942x = 553,866 × 553,866
  4. Step 4: Simplify right side
    258,942x = 306,767,545,956
  5. Step 5: Solve for x
    x = 306,767,545,956/258,942
  6. Step 6: Final answer
    x = 1,184,695.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.