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Finding the Third Proportional to 371,275.50 and 809,214

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Solution

The third proportional to 371,275.50 and 809,214 is: 1,763,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,275.50 : 809,214 = 809,214 : x
  2. Step 2: Convert to fraction form
    371,275.50/809,214 = 809,214/x
  3. Step 3: Cross multiply
    371,275.50x = 809,214 × 809,214
  4. Step 4: Simplify right side
    371,275.50x = 654,827,297,796
  5. Step 5: Solve for x
    x = 654,827,297,796/371,275.50
  6. Step 6: Final answer
    x = 1,763,723.43

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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.