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Finding the Third Proportional to 278,722.13 and 420,695.44

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Solution

The third proportional to 278,722.13 and 420,695.44 is: 634,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,722.13 : 420,695.44 = 420,695.44 : x
  2. Step 2: Convert to fraction form
    278,722.13/420,695.44 = 420,695.44/x
  3. Step 3: Cross multiply
    278,722.13x = 420,695.44 × 420,695.44
  4. Step 4: Simplify right side
    278,722.13x = 176,984,651,133.32
  5. Step 5: Solve for x
    x = 176,984,651,133.32/278,722.13
  6. Step 6: Final answer
    x = 634,986.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.