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Finding the Third Proportional to 538,271.50 and 867,273

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Solution

The third proportional to 538,271.50 and 867,273 is: 1,397,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,271.50 : 867,273 = 867,273 : x
  2. Step 2: Convert to fraction form
    538,271.50/867,273 = 867,273/x
  3. Step 3: Cross multiply
    538,271.50x = 867,273 × 867,273
  4. Step 4: Simplify right side
    538,271.50x = 752,162,456,529
  5. Step 5: Solve for x
    x = 752,162,456,529/538,271.50
  6. Step 6: Final answer
    x = 1,397,366.30

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.