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Finding the Third Proportional to 404,759 and 584,755

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Solution

The third proportional to 404,759 and 584,755 is: 844,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,759 : 584,755 = 584,755 : x
  2. Step 2: Convert to fraction form
    404,759/584,755 = 584,755/x
  3. Step 3: Cross multiply
    404,759x = 584,755 × 584,755
  4. Step 4: Simplify right side
    404,759x = 341,938,410,025
  5. Step 5: Solve for x
    x = 341,938,410,025/404,759
  6. Step 6: Final answer
    x = 844,795.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.