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Finding the Third Proportional to 467,544 and 683,820

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Solution

The third proportional to 467,544 and 683,820 is: 1,000,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,544 : 683,820 = 683,820 : x
  2. Step 2: Convert to fraction form
    467,544/683,820 = 683,820/x
  3. Step 3: Cross multiply
    467,544x = 683,820 × 683,820
  4. Step 4: Simplify right side
    467,544x = 467,609,792,400
  5. Step 5: Solve for x
    x = 467,609,792,400/467,544
  6. Step 6: Final answer
    x = 1,000,140.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.