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Finding the Third Proportional to 523,246.50 and 788,703.75

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Solution

The third proportional to 523,246.50 and 788,703.75 is: 1,188,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,246.50 : 788,703.75 = 788,703.75 : x
  2. Step 2: Convert to fraction form
    523,246.50/788,703.75 = 788,703.75/x
  3. Step 3: Cross multiply
    523,246.50x = 788,703.75 × 788,703.75
  4. Step 4: Simplify right side
    523,246.50x = 622,053,605,264.06
  5. Step 5: Solve for x
    x = 622,053,605,264.06/523,246.50
  6. Step 6: Final answer
    x = 1,188,834.72

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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.