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Finding the Third Proportional to 252,221 and 385,720

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Solution

The third proportional to 252,221 and 385,720 is: 589,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,221 : 385,720 = 385,720 : x
  2. Step 2: Convert to fraction form
    252,221/385,720 = 385,720/x
  3. Step 3: Cross multiply
    252,221x = 385,720 × 385,720
  4. Step 4: Simplify right side
    252,221x = 148,779,918,400
  5. Step 5: Solve for x
    x = 148,779,918,400/252,221
  6. Step 6: Final answer
    x = 589,879.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.