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Finding the Third Proportional to 353,121.75 and 771,817.50

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Solution

The third proportional to 353,121.75 and 771,817.50 is: 1,686,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,121.75 : 771,817.50 = 771,817.50 : x
  2. Step 2: Convert to fraction form
    353,121.75/771,817.50 = 771,817.50/x
  3. Step 3: Cross multiply
    353,121.75x = 771,817.50 × 771,817.50
  4. Step 4: Simplify right side
    353,121.75x = 595,702,253,306.25
  5. Step 5: Solve for x
    x = 595,702,253,306.25/353,121.75
  6. Step 6: Final answer
    x = 1,686,959.96

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Why These Related Problems?

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