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Finding the Third Proportional to 421,552 and 642,836

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Solution

The third proportional to 421,552 and 642,836 is: 980,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,552 : 642,836 = 642,836 : x
  2. Step 2: Convert to fraction form
    421,552/642,836 = 642,836/x
  3. Step 3: Cross multiply
    421,552x = 642,836 × 642,836
  4. Step 4: Simplify right side
    421,552x = 413,238,122,896
  5. Step 5: Solve for x
    x = 413,238,122,896/421,552
  6. Step 6: Final answer
    x = 980,277.93

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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.