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Finding the Third Proportional to 326,920 and 705,446

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Solution

The third proportional to 326,920 and 705,446 is: 1,522,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,920 : 705,446 = 705,446 : x
  2. Step 2: Convert to fraction form
    326,920/705,446 = 705,446/x
  3. Step 3: Cross multiply
    326,920x = 705,446 × 705,446
  4. Step 4: Simplify right side
    326,920x = 497,654,058,916
  5. Step 5: Solve for x
    x = 497,654,058,916/326,920
  6. Step 6: Final answer
    x = 1,522,250.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.