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Finding the Third Proportional to 404,773 and 584,775

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Solution

The third proportional to 404,773 and 584,775 is: 844,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,773 : 584,775 = 584,775 : x
  2. Step 2: Convert to fraction form
    404,773/584,775 = 584,775/x
  3. Step 3: Cross multiply
    404,773x = 584,775 × 584,775
  4. Step 4: Simplify right side
    404,773x = 341,961,800,625
  5. Step 5: Solve for x
    x = 341,961,800,625/404,773
  6. Step 6: Final answer
    x = 844,823.64

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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.