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Finding the Third Proportional to 292,291 and 628,093

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Solution

The third proportional to 292,291 and 628,093 is: 1,349,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,291 : 628,093 = 628,093 : x
  2. Step 2: Convert to fraction form
    292,291/628,093 = 628,093/x
  3. Step 3: Cross multiply
    292,291x = 628,093 × 628,093
  4. Step 4: Simplify right side
    292,291x = 394,500,816,649
  5. Step 5: Solve for x
    x = 394,500,816,649/292,291
  6. Step 6: Final answer
    x = 1,349,685.13

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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.