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Finding the Third Proportional to 292,942 and 639,596

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Solution

The third proportional to 292,942 and 639,596 is: 1,396,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,942 : 639,596 = 639,596 : x
  2. Step 2: Convert to fraction form
    292,942/639,596 = 639,596/x
  3. Step 3: Cross multiply
    292,942x = 639,596 × 639,596
  4. Step 4: Simplify right side
    292,942x = 409,083,043,216
  5. Step 5: Solve for x
    x = 409,083,043,216/292,942
  6. Step 6: Final answer
    x = 1,396,464.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.