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Finding the Third Proportional to 587,928 and 882,684

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Solution

The third proportional to 587,928 and 882,684 is: 1,325,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,928 : 882,684 = 882,684 : x
  2. Step 2: Convert to fraction form
    587,928/882,684 = 882,684/x
  3. Step 3: Cross multiply
    587,928x = 882,684 × 882,684
  4. Step 4: Simplify right side
    587,928x = 779,131,043,856
  5. Step 5: Solve for x
    x = 779,131,043,856/587,928
  6. Step 6: Final answer
    x = 1,325,215.07

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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.