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Finding the Third Proportional to 395,028 and 837,115.50

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Solution

The third proportional to 395,028 and 837,115.50 is: 1,773,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,028 : 837,115.50 = 837,115.50 : x
  2. Step 2: Convert to fraction form
    395,028/837,115.50 = 837,115.50/x
  3. Step 3: Cross multiply
    395,028x = 837,115.50 × 837,115.50
  4. Step 4: Simplify right side
    395,028x = 700,762,360,340.25
  5. Step 5: Solve for x
    x = 700,762,360,340.25/395,028
  6. Step 6: Final answer
    x = 1,773,956.18

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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.