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Finding the Third Proportional to 258,230 and 553,815

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Solution

The third proportional to 258,230 and 553,815 is: 1,187,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,230 : 553,815 = 553,815 : x
  2. Step 2: Convert to fraction form
    258,230/553,815 = 553,815/x
  3. Step 3: Cross multiply
    258,230x = 553,815 × 553,815
  4. Step 4: Simplify right side
    258,230x = 306,711,054,225
  5. Step 5: Solve for x
    x = 306,711,054,225/258,230
  6. Step 6: Final answer
    x = 1,187,743.69

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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.