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Finding the Third Proportional to 403,218 and 880,224

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Solution

The third proportional to 403,218 and 880,224 is: 1,921,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,218 : 880,224 = 880,224 : x
  2. Step 2: Convert to fraction form
    403,218/880,224 = 880,224/x
  3. Step 3: Cross multiply
    403,218x = 880,224 × 880,224
  4. Step 4: Simplify right side
    403,218x = 774,794,290,176
  5. Step 5: Solve for x
    x = 774,794,290,176/403,218
  6. Step 6: Final answer
    x = 1,921,527.04

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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.