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Finding the Third Proportional to 321,959.81 and 699,278.06

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Solution

The third proportional to 321,959.81 and 699,278.06 is: 1,518,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,959.81 : 699,278.06 = 699,278.06 : x
  2. Step 2: Convert to fraction form
    321,959.81/699,278.06 = 699,278.06/x
  3. Step 3: Cross multiply
    321,959.81x = 699,278.06 × 699,278.06
  4. Step 4: Simplify right side
    321,959.81x = 488,989,808,693.75
  5. Step 5: Solve for x
    x = 488,989,808,693.75/321,959.81
  6. Step 6: Final answer
    x = 1,518,791.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.