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Finding the Third Proportional to 395,856.50 and 853,920.50

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Solution

The third proportional to 395,856.50 and 853,920.50 is: 1,842,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,856.50 : 853,920.50 = 853,920.50 : x
  2. Step 2: Convert to fraction form
    395,856.50/853,920.50 = 853,920.50/x
  3. Step 3: Cross multiply
    395,856.50x = 853,920.50 × 853,920.50
  4. Step 4: Simplify right side
    395,856.50x = 729,180,220,320.25
  5. Step 5: Solve for x
    x = 729,180,220,320.25/395,856.50
  6. Step 6: Final answer
    x = 1,842,031.70

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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.