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Finding the Third Proportional to 587,817 and 882,517.50

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Solution

The third proportional to 587,817 and 882,517.50 is: 1,324,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,817 : 882,517.50 = 882,517.50 : x
  2. Step 2: Convert to fraction form
    587,817/882,517.50 = 882,517.50/x
  3. Step 3: Cross multiply
    587,817x = 882,517.50 × 882,517.50
  4. Step 4: Simplify right side
    587,817x = 778,837,137,806.25
  5. Step 5: Solve for x
    x = 778,837,137,806.25/587,817
  6. Step 6: Final answer
    x = 1,324,965.32

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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.