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Finding the Third Proportional to 504,455.25 and 840,759

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Solution

The third proportional to 504,455.25 and 840,759 is: 1,401,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,455.25 : 840,759 = 840,759 : x
  2. Step 2: Convert to fraction form
    504,455.25/840,759 = 840,759/x
  3. Step 3: Cross multiply
    504,455.25x = 840,759 × 840,759
  4. Step 4: Simplify right side
    504,455.25x = 706,875,696,081
  5. Step 5: Solve for x
    x = 706,875,696,081/504,455.25
  6. Step 6: Final answer
    x = 1,401,265.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.