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Finding the Third Proportional to 321,327 and 705,697

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Solution

The third proportional to 321,327 and 705,697 is: 1,549,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,327 : 705,697 = 705,697 : x
  2. Step 2: Convert to fraction form
    321,327/705,697 = 705,697/x
  3. Step 3: Cross multiply
    321,327x = 705,697 × 705,697
  4. Step 4: Simplify right side
    321,327x = 498,008,255,809
  5. Step 5: Solve for x
    x = 498,008,255,809/321,327
  6. Step 6: Final answer
    x = 1,549,848.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.