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Finding the Third Proportional to 584.75 and 950.50

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Solution

The third proportional to 584.75 and 950.50 is: 1,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 950.50 = 950.50 : x
  2. Step 2: Convert to fraction form
    584.75/950.50 = 950.50/x
  3. Step 3: Cross multiply
    584.75x = 950.50 × 950.50
  4. Step 4: Simplify right side
    584.75x = 903,450.25
  5. Step 5: Solve for x
    x = 903,450.25/584.75
  6. Step 6: Final answer
    x = 1,545.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.