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Finding the Third Proportional to 425,538 and 918,322.50

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Solution

The third proportional to 425,538 and 918,322.50 is: 1,981,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,538 : 918,322.50 = 918,322.50 : x
  2. Step 2: Convert to fraction form
    425,538/918,322.50 = 918,322.50/x
  3. Step 3: Cross multiply
    425,538x = 918,322.50 × 918,322.50
  4. Step 4: Simplify right side
    425,538x = 843,316,214,006.25
  5. Step 5: Solve for x
    x = 843,316,214,006.25/425,538
  6. Step 6: Final answer
    x = 1,981,764.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.