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Finding the Third Proportional to 628,324 and 888,357

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Solution

The third proportional to 628,324 and 888,357 is: 1,256,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,324 : 888,357 = 888,357 : x
  2. Step 2: Convert to fraction form
    628,324/888,357 = 888,357/x
  3. Step 3: Cross multiply
    628,324x = 888,357 × 888,357
  4. Step 4: Simplify right side
    628,324x = 789,178,159,449
  5. Step 5: Solve for x
    x = 789,178,159,449/628,324
  6. Step 6: Final answer
    x = 1,256,005.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.