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Finding the Third Proportional to 475,216 and 628,148

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Solution

The third proportional to 475,216 and 628,148 is: 830,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,216 : 628,148 = 628,148 : x
  2. Step 2: Convert to fraction form
    475,216/628,148 = 628,148/x
  3. Step 3: Cross multiply
    475,216x = 628,148 × 628,148
  4. Step 4: Simplify right side
    475,216x = 394,569,909,904
  5. Step 5: Solve for x
    x = 394,569,909,904/475,216
  6. Step 6: Final answer
    x = 830,295.93

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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.