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Finding the Third Proportional to 406,964.25 and 598,266

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Solution

The third proportional to 406,964.25 and 598,266 is: 879,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,964.25 : 598,266 = 598,266 : x
  2. Step 2: Convert to fraction form
    406,964.25/598,266 = 598,266/x
  3. Step 3: Cross multiply
    406,964.25x = 598,266 × 598,266
  4. Step 4: Simplify right side
    406,964.25x = 357,922,206,756
  5. Step 5: Solve for x
    x = 357,922,206,756/406,964.25
  6. Step 6: Final answer
    x = 879,492.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.