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Finding the Third Proportional to 465,723 and 683,235

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Solution

The third proportional to 465,723 and 683,235 is: 1,002,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,723 : 683,235 = 683,235 : x
  2. Step 2: Convert to fraction form
    465,723/683,235 = 683,235/x
  3. Step 3: Cross multiply
    465,723x = 683,235 × 683,235
  4. Step 4: Simplify right side
    465,723x = 466,810,065,225
  5. Step 5: Solve for x
    x = 466,810,065,225/465,723
  6. Step 6: Final answer
    x = 1,002,334.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.