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Finding the Third Proportional to 230,204.53 and 499,775.06

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Solution

The third proportional to 230,204.53 and 499,775.06 is: 1,085,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,204.53 : 499,775.06 = 499,775.06 : x
  2. Step 2: Convert to fraction form
    230,204.53/499,775.06 = 499,775.06/x
  3. Step 3: Cross multiply
    230,204.53x = 499,775.06 × 499,775.06
  4. Step 4: Simplify right side
    230,204.53x = 249,775,113,096.88
  5. Step 5: Solve for x
    x = 249,775,113,096.88/230,204.53
  6. Step 6: Final answer
    x = 1,085,013.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.