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Finding the Third Proportional to 473,722 and 728,156

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Solution

The third proportional to 473,722 and 728,156 is: 1,119,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,722 : 728,156 = 728,156 : x
  2. Step 2: Convert to fraction form
    473,722/728,156 = 728,156/x
  3. Step 3: Cross multiply
    473,722x = 728,156 × 728,156
  4. Step 4: Simplify right side
    473,722x = 530,211,160,336
  5. Step 5: Solve for x
    x = 530,211,160,336/473,722
  6. Step 6: Final answer
    x = 1,119,245.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.