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Finding the Third Proportional to 467,919 and 669,141

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Solution

The third proportional to 467,919 and 669,141 is: 956,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,919 : 669,141 = 669,141 : x
  2. Step 2: Convert to fraction form
    467,919/669,141 = 669,141/x
  3. Step 3: Cross multiply
    467,919x = 669,141 × 669,141
  4. Step 4: Simplify right side
    467,919x = 447,749,677,881
  5. Step 5: Solve for x
    x = 447,749,677,881/467,919
  6. Step 6: Final answer
    x = 956,895.70

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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.