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Finding the Third Proportional to 366,941 and 583,766

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Solution

The third proportional to 366,941 and 583,766 is: 928,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,941 : 583,766 = 583,766 : x
  2. Step 2: Convert to fraction form
    366,941/583,766 = 583,766/x
  3. Step 3: Cross multiply
    366,941x = 583,766 × 583,766
  4. Step 4: Simplify right side
    366,941x = 340,782,742,756
  5. Step 5: Solve for x
    x = 340,782,742,756/366,941
  6. Step 6: Final answer
    x = 928,712.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.