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Finding the Third Proportional to 413,264 and 628,128

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Solution

The third proportional to 413,264 and 628,128 is: 954,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,264 : 628,128 = 628,128 : x
  2. Step 2: Convert to fraction form
    413,264/628,128 = 628,128/x
  3. Step 3: Cross multiply
    413,264x = 628,128 × 628,128
  4. Step 4: Simplify right side
    413,264x = 394,544,784,384
  5. Step 5: Solve for x
    x = 394,544,784,384/413,264
  6. Step 6: Final answer
    x = 954,703.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.