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Finding the Third Proportional to 324,404 and 711,961

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Solution

The third proportional to 324,404 and 711,961 is: 1,562,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,404 : 711,961 = 711,961 : x
  2. Step 2: Convert to fraction form
    324,404/711,961 = 711,961/x
  3. Step 3: Cross multiply
    324,404x = 711,961 × 711,961
  4. Step 4: Simplify right side
    324,404x = 506,888,465,521
  5. Step 5: Solve for x
    x = 506,888,465,521/324,404
  6. Step 6: Final answer
    x = 1,562,522.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.