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Finding the Third Proportional to 229,396.50 and 493,947

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Solution

The third proportional to 229,396.50 and 493,947 is: 1,063,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,396.50 : 493,947 = 493,947 : x
  2. Step 2: Convert to fraction form
    229,396.50/493,947 = 493,947/x
  3. Step 3: Cross multiply
    229,396.50x = 493,947 × 493,947
  4. Step 4: Simplify right side
    229,396.50x = 243,983,638,809
  5. Step 5: Solve for x
    x = 243,983,638,809/229,396.50
  6. Step 6: Final answer
    x = 1,063,589.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.