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Finding the Third Proportional to 395,516.25 and 819,058.50

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Solution

The third proportional to 395,516.25 and 819,058.50 is: 1,696,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,516.25 : 819,058.50 = 819,058.50 : x
  2. Step 2: Convert to fraction form
    395,516.25/819,058.50 = 819,058.50/x
  3. Step 3: Cross multiply
    395,516.25x = 819,058.50 × 819,058.50
  4. Step 4: Simplify right side
    395,516.25x = 670,856,826,422.25
  5. Step 5: Solve for x
    x = 670,856,826,422.25/395,516.25
  6. Step 6: Final answer
    x = 1,696,154.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.