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Finding the Third Proportional to 468,024 and 668,811

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Solution

The third proportional to 468,024 and 668,811 is: 955,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,024 : 668,811 = 668,811 : x
  2. Step 2: Convert to fraction form
    468,024/668,811 = 668,811/x
  3. Step 3: Cross multiply
    468,024x = 668,811 × 668,811
  4. Step 4: Simplify right side
    468,024x = 447,308,153,721
  5. Step 5: Solve for x
    x = 447,308,153,721/468,024
  6. Step 6: Final answer
    x = 955,737.64

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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.