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Finding the Third Proportional to 403,244 and 880,276

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Solution

The third proportional to 403,244 and 880,276 is: 1,921,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,244 : 880,276 = 880,276 : x
  2. Step 2: Convert to fraction form
    403,244/880,276 = 880,276/x
  3. Step 3: Cross multiply
    403,244x = 880,276 × 880,276
  4. Step 4: Simplify right side
    403,244x = 774,885,836,176
  5. Step 5: Solve for x
    x = 774,885,836,176/403,244
  6. Step 6: Final answer
    x = 1,921,630.17

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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.