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Finding the Third Proportional to 262,523.63 and 572,560.75

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Solution

The third proportional to 262,523.63 and 572,560.75 is: 1,248,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,523.63 : 572,560.75 = 572,560.75 : x
  2. Step 2: Convert to fraction form
    262,523.63/572,560.75 = 572,560.75/x
  3. Step 3: Cross multiply
    262,523.63x = 572,560.75 × 572,560.75
  4. Step 4: Simplify right side
    262,523.63x = 327,825,812,440.56
  5. Step 5: Solve for x
    x = 327,825,812,440.56/262,523.63
  6. Step 6: Final answer
    x = 1,248,747.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.