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Finding the Third Proportional to 379,023.75 and 572,474.50

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Solution

The third proportional to 379,023.75 and 572,474.50 is: 864,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,023.75 : 572,474.50 = 572,474.50 : x
  2. Step 2: Convert to fraction form
    379,023.75/572,474.50 = 572,474.50/x
  3. Step 3: Cross multiply
    379,023.75x = 572,474.50 × 572,474.50
  4. Step 4: Simplify right side
    379,023.75x = 327,727,053,150.25
  5. Step 5: Solve for x
    x = 327,727,053,150.25/379,023.75
  6. Step 6: Final answer
    x = 864,661.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.