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Finding the Third Proportional to 353,422.50 and 772,816.50

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Solution

The third proportional to 353,422.50 and 772,816.50 is: 1,689,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,422.50 : 772,816.50 = 772,816.50 : x
  2. Step 2: Convert to fraction form
    353,422.50/772,816.50 = 772,816.50/x
  3. Step 3: Cross multiply
    353,422.50x = 772,816.50 × 772,816.50
  4. Step 4: Simplify right side
    353,422.50x = 597,245,342,672.25
  5. Step 5: Solve for x
    x = 597,245,342,672.25/353,422.50
  6. Step 6: Final answer
    x = 1,689,890.55

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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.