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Finding the Third Proportional to 406,464 and 880,698

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Solution

The third proportional to 406,464 and 880,698 is: 1,908,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,464 : 880,698 = 880,698 : x
  2. Step 2: Convert to fraction form
    406,464/880,698 = 880,698/x
  3. Step 3: Cross multiply
    406,464x = 880,698 × 880,698
  4. Step 4: Simplify right side
    406,464x = 775,628,967,204
  5. Step 5: Solve for x
    x = 775,628,967,204/406,464
  6. Step 6: Final answer
    x = 1,908,235.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.