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Finding the Third Proportional to 624,277 and 934,706

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Solution

The third proportional to 624,277 and 934,706 is: 1,399,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,277 : 934,706 = 934,706 : x
  2. Step 2: Convert to fraction form
    624,277/934,706 = 934,706/x
  3. Step 3: Cross multiply
    624,277x = 934,706 × 934,706
  4. Step 4: Simplify right side
    624,277x = 873,675,306,436
  5. Step 5: Solve for x
    x = 873,675,306,436/624,277
  6. Step 6: Final answer
    x = 1,399,499.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.