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Finding the Third Proportional to 258,766 and 392,814

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Solution

The third proportional to 258,766 and 392,814 is: 596,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,766 : 392,814 = 392,814 : x
  2. Step 2: Convert to fraction form
    258,766/392,814 = 392,814/x
  3. Step 3: Cross multiply
    258,766x = 392,814 × 392,814
  4. Step 4: Simplify right side
    258,766x = 154,302,838,596
  5. Step 5: Solve for x
    x = 154,302,838,596/258,766
  6. Step 6: Final answer
    x = 596,302.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.