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Finding the Third Proportional to 462,596 and 693,891

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Solution

The third proportional to 462,596 and 693,891 is: 1,040,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,596 : 693,891 = 693,891 : x
  2. Step 2: Convert to fraction form
    462,596/693,891 = 693,891/x
  3. Step 3: Cross multiply
    462,596x = 693,891 × 693,891
  4. Step 4: Simplify right side
    462,596x = 481,484,719,881
  5. Step 5: Solve for x
    x = 481,484,719,881/462,596
  6. Step 6: Final answer
    x = 1,040,832.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.