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Finding the Third Proportional to 395,026.50 and 837,112.50

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Solution

The third proportional to 395,026.50 and 837,112.50 is: 1,773,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,026.50 : 837,112.50 = 837,112.50 : x
  2. Step 2: Convert to fraction form
    395,026.50/837,112.50 = 837,112.50/x
  3. Step 3: Cross multiply
    395,026.50x = 837,112.50 × 837,112.50
  4. Step 4: Simplify right side
    395,026.50x = 700,757,337,656.25
  5. Step 5: Solve for x
    x = 700,757,337,656.25/395,026.50
  6. Step 6: Final answer
    x = 1,773,950.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.