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Finding the Third Proportional to 390,766.50 and 851,517

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Solution

The third proportional to 390,766.50 and 851,517 is: 1,855,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,766.50 : 851,517 = 851,517 : x
  2. Step 2: Convert to fraction form
    390,766.50/851,517 = 851,517/x
  3. Step 3: Cross multiply
    390,766.50x = 851,517 × 851,517
  4. Step 4: Simplify right side
    390,766.50x = 725,081,201,289
  5. Step 5: Solve for x
    x = 725,081,201,289/390,766.50
  6. Step 6: Final answer
    x = 1,855,535.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.