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Finding the Third Proportional to 398,301 and 859,989

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Solution

The third proportional to 398,301 and 859,989 is: 1,856,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,301 : 859,989 = 859,989 : x
  2. Step 2: Convert to fraction form
    398,301/859,989 = 859,989/x
  3. Step 3: Cross multiply
    398,301x = 859,989 × 859,989
  4. Step 4: Simplify right side
    398,301x = 739,581,080,121
  5. Step 5: Solve for x
    x = 739,581,080,121/398,301
  6. Step 6: Final answer
    x = 1,856,839.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.