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Finding the Third Proportional to 348,924.75 and 755,815.69

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Solution

The third proportional to 348,924.75 and 755,815.69 is: 1,637,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,924.75 : 755,815.69 = 755,815.69 : x
  2. Step 2: Convert to fraction form
    348,924.75/755,815.69 = 755,815.69/x
  3. Step 3: Cross multiply
    348,924.75x = 755,815.69 × 755,815.69
  4. Step 4: Simplify right side
    348,924.75x = 571,257,353,471.10
  5. Step 5: Solve for x
    x = 571,257,353,471.10/348,924.75
  6. Step 6: Final answer
    x = 1,637,193.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.