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Finding the Third Proportional to 539,640 and 833,796

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Solution

The third proportional to 539,640 and 833,796 is: 1,288,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,640 : 833,796 = 833,796 : x
  2. Step 2: Convert to fraction form
    539,640/833,796 = 833,796/x
  3. Step 3: Cross multiply
    539,640x = 833,796 × 833,796
  4. Step 4: Simplify right side
    539,640x = 695,215,769,616
  5. Step 5: Solve for x
    x = 695,215,769,616/539,640
  6. Step 6: Final answer
    x = 1,288,295.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.