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Finding the Third Proportional to 320,850 and 367,506

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Solution

The third proportional to 320,850 and 367,506 is: 420,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,850 : 367,506 = 367,506 : x
  2. Step 2: Convert to fraction form
    320,850/367,506 = 367,506/x
  3. Step 3: Cross multiply
    320,850x = 367,506 × 367,506
  4. Step 4: Simplify right side
    320,850x = 135,060,660,036
  5. Step 5: Solve for x
    x = 135,060,660,036/320,850
  6. Step 6: Final answer
    x = 420,946.42

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.