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Finding the Third Proportional to 279,784.13 and 443,697.75

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Solution

The third proportional to 279,784.13 and 443,697.75 is: 703,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,784.13 : 443,697.75 = 443,697.75 : x
  2. Step 2: Convert to fraction form
    279,784.13/443,697.75 = 443,697.75/x
  3. Step 3: Cross multiply
    279,784.13x = 443,697.75 × 443,697.75
  4. Step 4: Simplify right side
    279,784.13x = 196,867,693,355.06
  5. Step 5: Solve for x
    x = 196,867,693,355.06/279,784.13
  6. Step 6: Final answer
    x = 703,641.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.