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Finding the Third Proportional to 367,427.39 and 749,616.40

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Solution

The third proportional to 367,427.39 and 749,616.40 is: 1,529,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,427.39 : 749,616.40 = 749,616.40 : x
  2. Step 2: Convert to fraction form
    367,427.39/749,616.40 = 749,616.40/x
  3. Step 3: Cross multiply
    367,427.39x = 749,616.40 × 749,616.40
  4. Step 4: Simplify right side
    367,427.39x = 561,924,744,806.41
  5. Step 5: Solve for x
    x = 561,924,744,806.41/367,427.39
  6. Step 6: Final answer
    x = 1,529,349.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.