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Finding the Third Proportional to 426,890 and 600,627

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Solution

The third proportional to 426,890 and 600,627 is: 845,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,890 : 600,627 = 600,627 : x
  2. Step 2: Convert to fraction form
    426,890/600,627 = 600,627/x
  3. Step 3: Cross multiply
    426,890x = 600,627 × 600,627
  4. Step 4: Simplify right side
    426,890x = 360,752,793,129
  5. Step 5: Solve for x
    x = 360,752,793,129/426,890
  6. Step 6: Final answer
    x = 845,072.02

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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.