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Finding the Third Proportional to 680,730.75 and 902,998.13

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Solution

The third proportional to 680,730.75 and 902,998.13 is: 1,197,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,730.75 : 902,998.13 = 902,998.13 : x
  2. Step 2: Convert to fraction form
    680,730.75/902,998.13 = 902,998.13/x
  3. Step 3: Cross multiply
    680,730.75x = 902,998.13 × 902,998.13
  4. Step 4: Simplify right side
    680,730.75x = 815,405,613,753.52
  5. Step 5: Solve for x
    x = 815,405,613,753.52/680,730.75
  6. Step 6: Final answer
    x = 1,197,838.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.