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Finding the Third Proportional to 406,268 and 880,330

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Solution

The third proportional to 406,268 and 880,330 is: 1,907,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,268 : 880,330 = 880,330 : x
  2. Step 2: Convert to fraction form
    406,268/880,330 = 880,330/x
  3. Step 3: Cross multiply
    406,268x = 880,330 × 880,330
  4. Step 4: Simplify right side
    406,268x = 774,980,908,900
  5. Step 5: Solve for x
    x = 774,980,908,900/406,268
  6. Step 6: Final answer
    x = 1,907,560.79

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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.