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Finding the Third Proportional to 539,646 and 833,805

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Solution

The third proportional to 539,646 and 833,805 is: 1,288,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,646 : 833,805 = 833,805 : x
  2. Step 2: Convert to fraction form
    539,646/833,805 = 833,805/x
  3. Step 3: Cross multiply
    539,646x = 833,805 × 833,805
  4. Step 4: Simplify right side
    539,646x = 695,230,778,025
  5. Step 5: Solve for x
    x = 695,230,778,025/539,646
  6. Step 6: Final answer
    x = 1,288,308.96

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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.