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Finding the Third Proportional to 395,014.50 and 875,442

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Solution

The third proportional to 395,014.50 and 875,442 is: 1,940,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,014.50 : 875,442 = 875,442 : x
  2. Step 2: Convert to fraction form
    395,014.50/875,442 = 875,442/x
  3. Step 3: Cross multiply
    395,014.50x = 875,442 × 875,442
  4. Step 4: Simplify right side
    395,014.50x = 766,398,695,364
  5. Step 5: Solve for x
    x = 766,398,695,364/395,014.50
  6. Step 6: Final answer
    x = 1,940,178.64

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.