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Finding the Third Proportional to 398,829 and 867,642

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Solution

The third proportional to 398,829 and 867,642 is: 1,887,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,829 : 867,642 = 867,642 : x
  2. Step 2: Convert to fraction form
    398,829/867,642 = 867,642/x
  3. Step 3: Cross multiply
    398,829x = 867,642 × 867,642
  4. Step 4: Simplify right side
    398,829x = 752,802,640,164
  5. Step 5: Solve for x
    x = 752,802,640,164/398,829
  6. Step 6: Final answer
    x = 1,887,532.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.