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Finding the Third Proportional to 521,034 and 782,813.25

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Solution

The third proportional to 521,034 and 782,813.25 is: 1,176,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,034 : 782,813.25 = 782,813.25 : x
  2. Step 2: Convert to fraction form
    521,034/782,813.25 = 782,813.25/x
  3. Step 3: Cross multiply
    521,034x = 782,813.25 × 782,813.25
  4. Step 4: Simplify right side
    521,034x = 612,796,584,375.56
  5. Step 5: Solve for x
    x = 612,796,584,375.56/521,034
  6. Step 6: Final answer
    x = 1,176,116.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.