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Finding the Third Proportional to 399,306 and 603,120

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Solution

The third proportional to 399,306 and 603,120 is: 910,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,306 : 603,120 = 603,120 : x
  2. Step 2: Convert to fraction form
    399,306/603,120 = 603,120/x
  3. Step 3: Cross multiply
    399,306x = 603,120 × 603,120
  4. Step 4: Simplify right side
    399,306x = 363,753,734,400
  5. Step 5: Solve for x
    x = 363,753,734,400/399,306
  6. Step 6: Final answer
    x = 910,964.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.