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Finding the Third Proportional to 399,046.50 and 861,394.50

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Solution

The third proportional to 399,046.50 and 861,394.50 is: 1,859,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,046.50 : 861,394.50 = 861,394.50 : x
  2. Step 2: Convert to fraction form
    399,046.50/861,394.50 = 861,394.50/x
  3. Step 3: Cross multiply
    399,046.50x = 861,394.50 × 861,394.50
  4. Step 4: Simplify right side
    399,046.50x = 742,000,484,630.25
  5. Step 5: Solve for x
    x = 742,000,484,630.25/399,046.50
  6. Step 6: Final answer
    x = 1,859,433.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.