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Finding the Third Proportional to 292,453 and 628,416

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Solution

The third proportional to 292,453 and 628,416 is: 1,350,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,453 : 628,416 = 628,416 : x
  2. Step 2: Convert to fraction form
    292,453/628,416 = 628,416/x
  3. Step 3: Cross multiply
    292,453x = 628,416 × 628,416
  4. Step 4: Simplify right side
    292,453x = 394,906,669,056
  5. Step 5: Solve for x
    x = 394,906,669,056/292,453
  6. Step 6: Final answer
    x = 1,350,325.25

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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.