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Finding the Third Proportional to 454,662 and 662,002

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Solution

The third proportional to 454,662 and 662,002 is: 963,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,662 : 662,002 = 662,002 : x
  2. Step 2: Convert to fraction form
    454,662/662,002 = 662,002/x
  3. Step 3: Cross multiply
    454,662x = 662,002 × 662,002
  4. Step 4: Simplify right side
    454,662x = 438,246,648,004
  5. Step 5: Solve for x
    x = 438,246,648,004/454,662
  6. Step 6: Final answer
    x = 963,895.48

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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.