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Finding the Third Proportional to 403,524 and 885,416

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Solution

The third proportional to 403,524 and 885,416 is: 1,942,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,524 : 885,416 = 885,416 : x
  2. Step 2: Convert to fraction form
    403,524/885,416 = 885,416/x
  3. Step 3: Cross multiply
    403,524x = 885,416 × 885,416
  4. Step 4: Simplify right side
    403,524x = 783,961,493,056
  5. Step 5: Solve for x
    x = 783,961,493,056/403,524
  6. Step 6: Final answer
    x = 1,942,787.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.