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Finding the Third Proportional to 321,566 and 689,788

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Solution

The third proportional to 321,566 and 689,788 is: 1,479,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,566 : 689,788 = 689,788 : x
  2. Step 2: Convert to fraction form
    321,566/689,788 = 689,788/x
  3. Step 3: Cross multiply
    321,566x = 689,788 × 689,788
  4. Step 4: Simplify right side
    321,566x = 475,807,484,944
  5. Step 5: Solve for x
    x = 475,807,484,944/321,566
  6. Step 6: Final answer
    x = 1,479,657.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.