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Finding the Third Proportional to 381,645 and 572,516

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Solution

The third proportional to 381,645 and 572,516 is: 858,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,645 : 572,516 = 572,516 : x
  2. Step 2: Convert to fraction form
    381,645/572,516 = 572,516/x
  3. Step 3: Cross multiply
    381,645x = 572,516 × 572,516
  4. Step 4: Simplify right side
    381,645x = 327,774,570,256
  5. Step 5: Solve for x
    x = 327,774,570,256/381,645
  6. Step 6: Final answer
    x = 858,846.76

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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.