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Finding the Third Proportional to 223,867.50 and 483,819

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Solution

The third proportional to 223,867.50 and 483,819 is: 1,045,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,867.50 : 483,819 = 483,819 : x
  2. Step 2: Convert to fraction form
    223,867.50/483,819 = 483,819/x
  3. Step 3: Cross multiply
    223,867.50x = 483,819 × 483,819
  4. Step 4: Simplify right side
    223,867.50x = 234,080,824,761
  5. Step 5: Solve for x
    x = 234,080,824,761/223,867.50
  6. Step 6: Final answer
    x = 1,045,622.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.