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Finding the Third Proportional to 520,708.50 and 1,141,290

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Solution

The third proportional to 520,708.50 and 1,141,290 is: 2,501,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,708.50 : 1,141,290 = 1,141,290 : x
  2. Step 2: Convert to fraction form
    520,708.50/1,141,290 = 1,141,290/x
  3. Step 3: Cross multiply
    520,708.50x = 1,141,290 × 1,141,290
  4. Step 4: Simplify right side
    520,708.50x = 1,302,542,864,100
  5. Step 5: Solve for x
    x = 1,302,542,864,100/520,708.50
  6. Step 6: Final answer
    x = 2,501,481.85

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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.