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Finding the Third Proportional to 456,225 and 667,002

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Solution

The third proportional to 456,225 and 667,002 is: 975,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,225 : 667,002 = 667,002 : x
  2. Step 2: Convert to fraction form
    456,225/667,002 = 667,002/x
  3. Step 3: Cross multiply
    456,225x = 667,002 × 667,002
  4. Step 4: Simplify right side
    456,225x = 444,891,668,004
  5. Step 5: Solve for x
    x = 444,891,668,004/456,225
  6. Step 6: Final answer
    x = 975,158.46

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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.