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Finding the Third Proportional to 518,117.50 and 789,711

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Solution

The third proportional to 518,117.50 and 789,711 is: 1,203,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,117.50 : 789,711 = 789,711 : x
  2. Step 2: Convert to fraction form
    518,117.50/789,711 = 789,711/x
  3. Step 3: Cross multiply
    518,117.50x = 789,711 × 789,711
  4. Step 4: Simplify right side
    518,117.50x = 623,643,463,521
  5. Step 5: Solve for x
    x = 623,643,463,521/518,117.50
  6. Step 6: Final answer
    x = 1,203,671.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.