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Finding the Third Proportional to 297,036 and 604,404

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Solution

The third proportional to 297,036 and 604,404 is: 1,229,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,036 : 604,404 = 604,404 : x
  2. Step 2: Convert to fraction form
    297,036/604,404 = 604,404/x
  3. Step 3: Cross multiply
    297,036x = 604,404 × 604,404
  4. Step 4: Simplify right side
    297,036x = 365,304,195,216
  5. Step 5: Solve for x
    x = 365,304,195,216/297,036
  6. Step 6: Final answer
    x = 1,229,831.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.