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Finding the Third Proportional to 498,829.50 and 1,097,307

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Solution

The third proportional to 498,829.50 and 1,097,307 is: 2,413,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,829.50 : 1,097,307 = 1,097,307 : x
  2. Step 2: Convert to fraction form
    498,829.50/1,097,307 = 1,097,307/x
  3. Step 3: Cross multiply
    498,829.50x = 1,097,307 × 1,097,307
  4. Step 4: Simplify right side
    498,829.50x = 1,204,082,652,249
  5. Step 5: Solve for x
    x = 1,204,082,652,249/498,829.50
  6. Step 6: Final answer
    x = 2,413,816.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.