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Finding the Third Proportional to 269,160 and 417,942

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Solution

The third proportional to 269,160 and 417,942 is: 648,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,160 : 417,942 = 417,942 : x
  2. Step 2: Convert to fraction form
    269,160/417,942 = 417,942/x
  3. Step 3: Cross multiply
    269,160x = 417,942 × 417,942
  4. Step 4: Simplify right side
    269,160x = 174,675,515,364
  5. Step 5: Solve for x
    x = 174,675,515,364/269,160
  6. Step 6: Final answer
    x = 648,965.36

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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.