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Finding the Third Proportional to 584,275 and 874,077

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Solution

The third proportional to 584,275 and 874,077 is: 1,307,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,275 : 874,077 = 874,077 : x
  2. Step 2: Convert to fraction form
    584,275/874,077 = 874,077/x
  3. Step 3: Cross multiply
    584,275x = 874,077 × 874,077
  4. Step 4: Simplify right side
    584,275x = 764,010,601,929
  5. Step 5: Solve for x
    x = 764,010,601,929/584,275
  6. Step 6: Final answer
    x = 1,307,621.59

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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.