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Finding the Third Proportional to 399,304 and 603,114

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Solution

The third proportional to 399,304 and 603,114 is: 910,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,304 : 603,114 = 603,114 : x
  2. Step 2: Convert to fraction form
    399,304/603,114 = 603,114/x
  3. Step 3: Cross multiply
    399,304x = 603,114 × 603,114
  4. Step 4: Simplify right side
    399,304x = 363,746,496,996
  5. Step 5: Solve for x
    x = 363,746,496,996/399,304
  6. Step 6: Final answer
    x = 910,951.30

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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.