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Finding the Third Proportional to 278,731.50 and 611,598

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Solution

The third proportional to 278,731.50 and 611,598 is: 1,341,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,731.50 : 611,598 = 611,598 : x
  2. Step 2: Convert to fraction form
    278,731.50/611,598 = 611,598/x
  3. Step 3: Cross multiply
    278,731.50x = 611,598 × 611,598
  4. Step 4: Simplify right side
    278,731.50x = 374,052,113,604
  5. Step 5: Solve for x
    x = 374,052,113,604/278,731.50
  6. Step 6: Final answer
    x = 1,341,980.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.