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Finding the Third Proportional to 321,314 and 429,267

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Solution

The third proportional to 321,314 and 429,267 is: 573,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,314 : 429,267 = 429,267 : x
  2. Step 2: Convert to fraction form
    321,314/429,267 = 429,267/x
  3. Step 3: Cross multiply
    321,314x = 429,267 × 429,267
  4. Step 4: Simplify right side
    321,314x = 184,270,157,289
  5. Step 5: Solve for x
    x = 184,270,157,289/321,314
  6. Step 6: Final answer
    x = 573,489.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.