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Finding the Third Proportional to 292,351 and 628,217

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Solution

The third proportional to 292,351 and 628,217 is: 1,349,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,351 : 628,217 = 628,217 : x
  2. Step 2: Convert to fraction form
    292,351/628,217 = 628,217/x
  3. Step 3: Cross multiply
    292,351x = 628,217 × 628,217
  4. Step 4: Simplify right side
    292,351x = 394,656,599,089
  5. Step 5: Solve for x
    x = 394,656,599,089/292,351
  6. Step 6: Final answer
    x = 1,349,940.99

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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.