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Finding the Third Proportional to 584,422 and 874,279

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Solution

The third proportional to 584,422 and 874,279 is: 1,307,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,422 : 874,279 = 874,279 : x
  2. Step 2: Convert to fraction form
    584,422/874,279 = 874,279/x
  3. Step 3: Cross multiply
    584,422x = 874,279 × 874,279
  4. Step 4: Simplify right side
    584,422x = 764,363,769,841
  5. Step 5: Solve for x
    x = 764,363,769,841/584,422
  6. Step 6: Final answer
    x = 1,307,896.98

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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.