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Finding the Third Proportional to 467,604 and 723,230

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Solution

The third proportional to 467,604 and 723,230 is: 1,118,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,604 : 723,230 = 723,230 : x
  2. Step 2: Convert to fraction form
    467,604/723,230 = 723,230/x
  3. Step 3: Cross multiply
    467,604x = 723,230 × 723,230
  4. Step 4: Simplify right side
    467,604x = 523,061,632,900
  5. Step 5: Solve for x
    x = 523,061,632,900/467,604
  6. Step 6: Final answer
    x = 1,118,599.57

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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.