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Finding the Third Proportional to 705,399 and 1,008,324

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Solution

The third proportional to 705,399 and 1,008,324 is: 1,441,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,399 : 1,008,324 = 1,008,324 : x
  2. Step 2: Convert to fraction form
    705,399/1,008,324 = 1,008,324/x
  3. Step 3: Cross multiply
    705,399x = 1,008,324 × 1,008,324
  4. Step 4: Simplify right side
    705,399x = 1,016,717,288,976
  5. Step 5: Solve for x
    x = 1,016,717,288,976/705,399
  6. Step 6: Final answer
    x = 1,441,336.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.