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Finding the Third Proportional to 252,468.75 and 379,351.13

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Solution

The third proportional to 252,468.75 and 379,351.13 is: 570,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,468.75 : 379,351.13 = 379,351.13 : x
  2. Step 2: Convert to fraction form
    252,468.75/379,351.13 = 379,351.13/x
  3. Step 3: Cross multiply
    252,468.75x = 379,351.13 × 379,351.13
  4. Step 4: Simplify right side
    252,468.75x = 143,907,276,038.77
  5. Step 5: Solve for x
    x = 143,907,276,038.77/252,468.75
  6. Step 6: Final answer
    x = 570,000.35

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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.