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Finding the Third Proportional to 467,600 and 723,224

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Solution

The third proportional to 467,600 and 723,224 is: 1,118,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,600 : 723,224 = 723,224 : x
  2. Step 2: Convert to fraction form
    467,600/723,224 = 723,224/x
  3. Step 3: Cross multiply
    467,600x = 723,224 × 723,224
  4. Step 4: Simplify right side
    467,600x = 523,052,954,176
  5. Step 5: Solve for x
    x = 523,052,954,176/467,600
  6. Step 6: Final answer
    x = 1,118,590.58

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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.