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Finding the Third Proportional to 466,737.75 and 720,837

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Solution

The third proportional to 466,737.75 and 720,837 is: 1,113,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,737.75 : 720,837 = 720,837 : x
  2. Step 2: Convert to fraction form
    466,737.75/720,837 = 720,837/x
  3. Step 3: Cross multiply
    466,737.75x = 720,837 × 720,837
  4. Step 4: Simplify right side
    466,737.75x = 519,605,980,569
  5. Step 5: Solve for x
    x = 519,605,980,569/466,737.75
  6. Step 6: Final answer
    x = 1,113,271.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.