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Finding the Third Proportional to 403,250 and 880,286

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Solution

The third proportional to 403,250 and 880,286 is: 1,921,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,250 : 880,286 = 880,286 : x
  2. Step 2: Convert to fraction form
    403,250/880,286 = 880,286/x
  3. Step 3: Cross multiply
    403,250x = 880,286 × 880,286
  4. Step 4: Simplify right side
    403,250x = 774,903,441,796
  5. Step 5: Solve for x
    x = 774,903,441,796/403,250
  6. Step 6: Final answer
    x = 1,921,645.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.