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Finding the Third Proportional to 406,264 and 880,322

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Solution

The third proportional to 406,264 and 880,322 is: 1,907,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,264 : 880,322 = 880,322 : x
  2. Step 2: Convert to fraction form
    406,264/880,322 = 880,322/x
  3. Step 3: Cross multiply
    406,264x = 880,322 × 880,322
  4. Step 4: Simplify right side
    406,264x = 774,966,823,684
  5. Step 5: Solve for x
    x = 774,966,823,684/406,264
  6. Step 6: Final answer
    x = 1,907,544.91

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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.