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Finding the Third Proportional to 252,474 and 379,365

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Solution

The third proportional to 252,474 and 379,365 is: 570,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,474 : 379,365 = 379,365 : x
  2. Step 2: Convert to fraction form
    252,474/379,365 = 379,365/x
  3. Step 3: Cross multiply
    252,474x = 379,365 × 379,365
  4. Step 4: Simplify right side
    252,474x = 143,917,803,225
  5. Step 5: Solve for x
    x = 143,917,803,225/252,474
  6. Step 6: Final answer
    x = 570,030.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.