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Finding the Third Proportional to 482,685 and 723,096

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Solution

The third proportional to 482,685 and 723,096 is: 1,083,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,685 : 723,096 = 723,096 : x
  2. Step 2: Convert to fraction form
    482,685/723,096 = 723,096/x
  3. Step 3: Cross multiply
    482,685x = 723,096 × 723,096
  4. Step 4: Simplify right side
    482,685x = 522,867,825,216
  5. Step 5: Solve for x
    x = 522,867,825,216/482,685
  6. Step 6: Final answer
    x = 1,083,248.55

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