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Finding the Third Proportional to 486,773 and 726,108.75

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Solution

The third proportional to 486,773 and 726,108.75 is: 1,083,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,773 : 726,108.75 = 726,108.75 : x
  2. Step 2: Convert to fraction form
    486,773/726,108.75 = 726,108.75/x
  3. Step 3: Cross multiply
    486,773x = 726,108.75 × 726,108.75
  4. Step 4: Simplify right side
    486,773x = 527,233,916,826.56
  5. Step 5: Solve for x
    x = 527,233,916,826.56/486,773
  6. Step 6: Final answer
    x = 1,083,120.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.