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Finding the Third Proportional to 475,228 and 628,166

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Solution

The third proportional to 475,228 and 628,166 is: 830,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,228 : 628,166 = 628,166 : x
  2. Step 2: Convert to fraction form
    475,228/628,166 = 628,166/x
  3. Step 3: Cross multiply
    475,228x = 628,166 × 628,166
  4. Step 4: Simplify right side
    475,228x = 394,592,523,556
  5. Step 5: Solve for x
    x = 394,592,523,556/475,228
  6. Step 6: Final answer
    x = 830,322.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.