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Finding the Third Proportional to 252,288 and 379,491.75

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Solution

The third proportional to 252,288 and 379,491.75 is: 570,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,288 : 379,491.75 = 379,491.75 : x
  2. Step 2: Convert to fraction form
    252,288/379,491.75 = 379,491.75/x
  3. Step 3: Cross multiply
    252,288x = 379,491.75 × 379,491.75
  4. Step 4: Simplify right side
    252,288x = 144,013,988,318.06
  5. Step 5: Solve for x
    x = 144,013,988,318.06/252,288
  6. Step 6: Final answer
    x = 570,831.70

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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.