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Finding the Third Proportional to 442,828 and 704,968

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Solution

The third proportional to 442,828 and 704,968 is: 1,122,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,828 : 704,968 = 704,968 : x
  2. Step 2: Convert to fraction form
    442,828/704,968 = 704,968/x
  3. Step 3: Cross multiply
    442,828x = 704,968 × 704,968
  4. Step 4: Simplify right side
    442,828x = 496,979,881,024
  5. Step 5: Solve for x
    x = 496,979,881,024/442,828
  6. Step 6: Final answer
    x = 1,122,286.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.