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Finding the Third Proportional to 252,222 and 385,722

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Solution

The third proportional to 252,222 and 385,722 is: 589,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,222 : 385,722 = 385,722 : x
  2. Step 2: Convert to fraction form
    252,222/385,722 = 385,722/x
  3. Step 3: Cross multiply
    252,222x = 385,722 × 385,722
  4. Step 4: Simplify right side
    252,222x = 148,781,461,284
  5. Step 5: Solve for x
    x = 148,781,461,284/252,222
  6. Step 6: Final answer
    x = 589,882.97

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