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Finding the Third Proportional to 536,908.50 and 752,571

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Solution

The third proportional to 536,908.50 and 752,571 is: 1,054,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,908.50 : 752,571 = 752,571 : x
  2. Step 2: Convert to fraction form
    536,908.50/752,571 = 752,571/x
  3. Step 3: Cross multiply
    536,908.50x = 752,571 × 752,571
  4. Step 4: Simplify right side
    536,908.50x = 566,363,110,041
  5. Step 5: Solve for x
    x = 566,363,110,041/536,908.50
  6. Step 6: Final answer
    x = 1,054,859.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.