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Finding the Third Proportional to 295,625 and 650,293

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Solution

The third proportional to 295,625 and 650,293 is: 1,430,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,625 : 650,293 = 650,293 : x
  2. Step 2: Convert to fraction form
    295,625/650,293 = 650,293/x
  3. Step 3: Cross multiply
    295,625x = 650,293 × 650,293
  4. Step 4: Simplify right side
    295,625x = 422,880,985,849
  5. Step 5: Solve for x
    x = 422,880,985,849/295,625
  6. Step 6: Final answer
    x = 1,430,464.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.