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Finding the Third Proportional to 418,303 and 858,853

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Solution

The third proportional to 418,303 and 858,853 is: 1,763,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,303 : 858,853 = 858,853 : x
  2. Step 2: Convert to fraction form
    418,303/858,853 = 858,853/x
  3. Step 3: Cross multiply
    418,303x = 858,853 × 858,853
  4. Step 4: Simplify right side
    418,303x = 737,628,475,609
  5. Step 5: Solve for x
    x = 737,628,475,609/418,303
  6. Step 6: Final answer
    x = 1,763,383.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.