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Finding the Third Proportional to 418,188 and 648,450

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Solution

The third proportional to 418,188 and 648,450 is: 1,005,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,188 : 648,450 = 648,450 : x
  2. Step 2: Convert to fraction form
    418,188/648,450 = 648,450/x
  3. Step 3: Cross multiply
    418,188x = 648,450 × 648,450
  4. Step 4: Simplify right side
    418,188x = 420,487,402,500
  5. Step 5: Solve for x
    x = 420,487,402,500/418,188
  6. Step 6: Final answer
    x = 1,005,498.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.