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Finding the Third Proportional to 442,820 and 704,960

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Solution

The third proportional to 442,820 and 704,960 is: 1,122,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,820 : 704,960 = 704,960 : x
  2. Step 2: Convert to fraction form
    442,820/704,960 = 704,960/x
  3. Step 3: Cross multiply
    442,820x = 704,960 × 704,960
  4. Step 4: Simplify right side
    442,820x = 496,968,601,600
  5. Step 5: Solve for x
    x = 496,968,601,600/442,820
  6. Step 6: Final answer
    x = 1,122,281.29

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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.