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Finding the Third Proportional to 638,658 and 888,003

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Solution

The third proportional to 638,658 and 888,003 is: 1,234,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,658 : 888,003 = 888,003 : x
  2. Step 2: Convert to fraction form
    638,658/888,003 = 888,003/x
  3. Step 3: Cross multiply
    638,658x = 888,003 × 888,003
  4. Step 4: Simplify right side
    638,658x = 788,549,328,009
  5. Step 5: Solve for x
    x = 788,549,328,009/638,658
  6. Step 6: Final answer
    x = 1,234,697.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.