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Finding the Third Proportional to 468,332 and 669,234

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Solution

The third proportional to 468,332 and 669,234 is: 956,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,332 : 669,234 = 669,234 : x
  2. Step 2: Convert to fraction form
    468,332/669,234 = 669,234/x
  3. Step 3: Cross multiply
    468,332x = 669,234 × 669,234
  4. Step 4: Simplify right side
    468,332x = 447,874,146,756
  5. Step 5: Solve for x
    x = 447,874,146,756/468,332
  6. Step 6: Final answer
    x = 956,317.63

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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.