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Finding the Third Proportional to 292,251 and 628,203

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Solution

The third proportional to 292,251 and 628,203 is: 1,350,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,251 : 628,203 = 628,203 : x
  2. Step 2: Convert to fraction form
    292,251/628,203 = 628,203/x
  3. Step 3: Cross multiply
    292,251x = 628,203 × 628,203
  4. Step 4: Simplify right side
    292,251x = 394,639,009,209
  5. Step 5: Solve for x
    x = 394,639,009,209/292,251
  6. Step 6: Final answer
    x = 1,350,342.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.