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Finding the Third Proportional to 252,475 and 379,359

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Solution

The third proportional to 252,475 and 379,359 is: 570,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,475 : 379,359 = 379,359 : x
  2. Step 2: Convert to fraction form
    252,475/379,359 = 379,359/x
  3. Step 3: Cross multiply
    252,475x = 379,359 × 379,359
  4. Step 4: Simplify right side
    252,475x = 143,913,250,881
  5. Step 5: Solve for x
    x = 143,913,250,881/252,475
  6. Step 6: Final answer
    x = 570,009.91

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