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Finding the Third Proportional to 475,224 and 628,160

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Solution

The third proportional to 475,224 and 628,160 is: 830,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,224 : 628,160 = 628,160 : x
  2. Step 2: Convert to fraction form
    475,224/628,160 = 628,160/x
  3. Step 3: Cross multiply
    475,224x = 628,160 × 628,160
  4. Step 4: Simplify right side
    475,224x = 394,584,985,600
  5. Step 5: Solve for x
    x = 394,584,985,600/475,224
  6. Step 6: Final answer
    x = 830,313.67

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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.