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Finding the Third Proportional to 482,679 and 723,087

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Solution

The third proportional to 482,679 and 723,087 is: 1,083,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,679 : 723,087 = 723,087 : x
  2. Step 2: Convert to fraction form
    482,679/723,087 = 723,087/x
  3. Step 3: Cross multiply
    482,679x = 723,087 × 723,087
  4. Step 4: Simplify right side
    482,679x = 522,854,809,569
  5. Step 5: Solve for x
    x = 522,854,809,569/482,679
  6. Step 6: Final answer
    x = 1,083,235.05

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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.