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Finding the Third Proportional to 313,647.75 and 499,074

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Solution

The third proportional to 313,647.75 and 499,074 is: 794,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,647.75 : 499,074 = 499,074 : x
  2. Step 2: Convert to fraction form
    313,647.75/499,074 = 499,074/x
  3. Step 3: Cross multiply
    313,647.75x = 499,074 × 499,074
  4. Step 4: Simplify right side
    313,647.75x = 249,074,857,476
  5. Step 5: Solve for x
    x = 249,074,857,476/313,647.75
  6. Step 6: Final answer
    x = 794,122.89

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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.