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Finding the Third Proportional to 395,221.50 and 850,386

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Solution

The third proportional to 395,221.50 and 850,386 is: 1,829,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,221.50 : 850,386 = 850,386 : x
  2. Step 2: Convert to fraction form
    395,221.50/850,386 = 850,386/x
  3. Step 3: Cross multiply
    395,221.50x = 850,386 × 850,386
  4. Step 4: Simplify right side
    395,221.50x = 723,156,348,996
  5. Step 5: Solve for x
    x = 723,156,348,996/395,221.50
  6. Step 6: Final answer
    x = 1,829,749.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.