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Finding the Third Proportional to 584,758 and 874,757

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Solution

The third proportional to 584,758 and 874,757 is: 1,308,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,758 : 874,757 = 874,757 : x
  2. Step 2: Convert to fraction form
    584,758/874,757 = 874,757/x
  3. Step 3: Cross multiply
    584,758x = 874,757 × 874,757
  4. Step 4: Simplify right side
    584,758x = 765,199,809,049
  5. Step 5: Solve for x
    x = 765,199,809,049/584,758
  6. Step 6: Final answer
    x = 1,308,575.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.