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Finding the Third Proportional to 228,019.50 and 499,819.50

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Solution

The third proportional to 228,019.50 and 499,819.50 is: 1,095,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,019.50 : 499,819.50 = 499,819.50 : x
  2. Step 2: Convert to fraction form
    228,019.50/499,819.50 = 499,819.50/x
  3. Step 3: Cross multiply
    228,019.50x = 499,819.50 × 499,819.50
  4. Step 4: Simplify right side
    228,019.50x = 249,819,532,580.25
  5. Step 5: Solve for x
    x = 249,819,532,580.25/228,019.50
  6. Step 6: Final answer
    x = 1,095,606.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.