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Finding the Third Proportional to 243,704 and 326,001

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Solution

The third proportional to 243,704 and 326,001 is: 436,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,704 : 326,001 = 326,001 : x
  2. Step 2: Convert to fraction form
    243,704/326,001 = 326,001/x
  3. Step 3: Cross multiply
    243,704x = 326,001 × 326,001
  4. Step 4: Simplify right side
    243,704x = 106,276,652,001
  5. Step 5: Solve for x
    x = 106,276,652,001/243,704
  6. Step 6: Final answer
    x = 436,089.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.