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Finding the Third Proportional to 229,474.50 and 499,778.25

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Solution

The third proportional to 229,474.50 and 499,778.25 is: 1,088,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,474.50 : 499,778.25 = 499,778.25 : x
  2. Step 2: Convert to fraction form
    229,474.50/499,778.25 = 499,778.25/x
  3. Step 3: Cross multiply
    229,474.50x = 499,778.25 × 499,778.25
  4. Step 4: Simplify right side
    229,474.50x = 249,778,299,173.06
  5. Step 5: Solve for x
    x = 249,778,299,173.06/229,474.50
  6. Step 6: Final answer
    x = 1,088,479.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.