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Finding the Third Proportional to 611,995.50 and 696,195

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Solution

The third proportional to 611,995.50 and 696,195 is: 791,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,995.50 : 696,195 = 696,195 : x
  2. Step 2: Convert to fraction form
    611,995.50/696,195 = 696,195/x
  3. Step 3: Cross multiply
    611,995.50x = 696,195 × 696,195
  4. Step 4: Simplify right side
    611,995.50x = 484,687,478,025
  5. Step 5: Solve for x
    x = 484,687,478,025/611,995.50
  6. Step 6: Final answer
    x = 791,978.83

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.