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Finding the Third Proportional to 330,037 and 723,186

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Solution

The third proportional to 330,037 and 723,186 is: 1,584,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,037 : 723,186 = 723,186 : x
  2. Step 2: Convert to fraction form
    330,037/723,186 = 723,186/x
  3. Step 3: Cross multiply
    330,037x = 723,186 × 723,186
  4. Step 4: Simplify right side
    330,037x = 522,997,990,596
  5. Step 5: Solve for x
    x = 522,997,990,596/330,037
  6. Step 6: Final answer
    x = 1,584,664.72

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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.