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Finding the Third Proportional to 283,466 and 444,711

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Solution

The third proportional to 283,466 and 444,711 is: 697,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,466 : 444,711 = 444,711 : x
  2. Step 2: Convert to fraction form
    283,466/444,711 = 444,711/x
  3. Step 3: Cross multiply
    283,466x = 444,711 × 444,711
  4. Step 4: Simplify right side
    283,466x = 197,767,873,521
  5. Step 5: Solve for x
    x = 197,767,873,521/283,466
  6. Step 6: Final answer
    x = 697,677.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.