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Finding the Third Proportional to 467,602 and 723,227

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Solution

The third proportional to 467,602 and 723,227 is: 1,118,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,602 : 723,227 = 723,227 : x
  2. Step 2: Convert to fraction form
    467,602/723,227 = 723,227/x
  3. Step 3: Cross multiply
    467,602x = 723,227 × 723,227
  4. Step 4: Simplify right side
    467,602x = 523,057,293,529
  5. Step 5: Solve for x
    x = 523,057,293,529/467,602
  6. Step 6: Final answer
    x = 1,118,595.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.