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Finding the Third Proportional to 275,998.88 and 404,911.13

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Solution

The third proportional to 275,998.88 and 404,911.13 is: 594,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,998.88 : 404,911.13 = 404,911.13 : x
  2. Step 2: Convert to fraction form
    275,998.88/404,911.13 = 404,911.13/x
  3. Step 3: Cross multiply
    275,998.88x = 404,911.13 × 404,911.13
  4. Step 4: Simplify right side
    275,998.88x = 163,953,019,148.77
  5. Step 5: Solve for x
    x = 163,953,019,148.77/275,998.88
  6. Step 6: Final answer
    x = 594,035.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.