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Finding the Third Proportional to 467,868 and 669,073

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Solution

The third proportional to 467,868 and 669,073 is: 956,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,868 : 669,073 = 669,073 : x
  2. Step 2: Convert to fraction form
    467,868/669,073 = 669,073/x
  3. Step 3: Cross multiply
    467,868x = 669,073 × 669,073
  4. Step 4: Simplify right side
    467,868x = 447,658,679,329
  5. Step 5: Solve for x
    x = 447,658,679,329/467,868
  6. Step 6: Final answer
    x = 956,805.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.