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Finding the Third Proportional to 584,286.75 and 874,098

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Solution

The third proportional to 584,286.75 and 874,098 is: 1,307,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,286.75 : 874,098 = 874,098 : x
  2. Step 2: Convert to fraction form
    584,286.75/874,098 = 874,098/x
  3. Step 3: Cross multiply
    584,286.75x = 874,098 × 874,098
  4. Step 4: Simplify right side
    584,286.75x = 764,047,313,604
  5. Step 5: Solve for x
    x = 764,047,313,604/584,286.75
  6. Step 6: Final answer
    x = 1,307,658.12

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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.