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Finding the Third Proportional to 324,408 and 711,969

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Solution

The third proportional to 324,408 and 711,969 is: 1,562,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,408 : 711,969 = 711,969 : x
  2. Step 2: Convert to fraction form
    324,408/711,969 = 711,969/x
  3. Step 3: Cross multiply
    324,408x = 711,969 × 711,969
  4. Step 4: Simplify right side
    324,408x = 506,899,856,961
  5. Step 5: Solve for x
    x = 506,899,856,961/324,408
  6. Step 6: Final answer
    x = 1,562,538.09

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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.