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Finding the Third Proportional to 454,664 and 662,006

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Solution

The third proportional to 454,664 and 662,006 is: 963,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,664 : 662,006 = 662,006 : x
  2. Step 2: Convert to fraction form
    454,664/662,006 = 662,006/x
  3. Step 3: Cross multiply
    454,664x = 662,006 × 662,006
  4. Step 4: Simplify right side
    454,664x = 438,251,944,036
  5. Step 5: Solve for x
    x = 438,251,944,036/454,664
  6. Step 6: Final answer
    x = 963,902.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.