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Finding the Third Proportional to 367,851.75 and 499,289.25

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Solution

The third proportional to 367,851.75 and 499,289.25 is: 677,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,851.75 : 499,289.25 = 499,289.25 : x
  2. Step 2: Convert to fraction form
    367,851.75/499,289.25 = 499,289.25/x
  3. Step 3: Cross multiply
    367,851.75x = 499,289.25 × 499,289.25
  4. Step 4: Simplify right side
    367,851.75x = 249,289,755,165.56
  5. Step 5: Solve for x
    x = 249,289,755,165.56/367,851.75
  6. Step 6: Final answer
    x = 677,690.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.