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Finding the Third Proportional to 292,294 and 628,099

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Solution

The third proportional to 292,294 and 628,099 is: 1,349,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,294 : 628,099 = 628,099 : x
  2. Step 2: Convert to fraction form
    292,294/628,099 = 628,099/x
  3. Step 3: Cross multiply
    292,294x = 628,099 × 628,099
  4. Step 4: Simplify right side
    292,294x = 394,508,353,801
  5. Step 5: Solve for x
    x = 394,508,353,801/292,294
  6. Step 6: Final answer
    x = 1,349,697.06

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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.