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Finding the Third Proportional to 421,548 and 642,828

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Solution

The third proportional to 421,548 and 642,828 is: 980,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,548 : 642,828 = 642,828 : x
  2. Step 2: Convert to fraction form
    421,548/642,828 = 642,828/x
  3. Step 3: Cross multiply
    421,548x = 642,828 × 642,828
  4. Step 4: Simplify right side
    421,548x = 413,227,837,584
  5. Step 5: Solve for x
    x = 413,227,837,584/421,548
  6. Step 6: Final answer
    x = 980,262.84

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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.