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Finding the Third Proportional to 258,127 and 553,609

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Solution

The third proportional to 258,127 and 553,609 is: 1,187,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,127 : 553,609 = 553,609 : x
  2. Step 2: Convert to fraction form
    258,127/553,609 = 553,609/x
  3. Step 3: Cross multiply
    258,127x = 553,609 × 553,609
  4. Step 4: Simplify right side
    258,127x = 306,482,924,881
  5. Step 5: Solve for x
    x = 306,482,924,881/258,127
  6. Step 6: Final answer
    x = 1,187,333.85

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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.