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Finding the Third Proportional to 333,163.13 and 487,249.17

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Solution

The third proportional to 333,163.13 and 487,249.17 is: 712,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,163.13 : 487,249.17 = 487,249.17 : x
  2. Step 2: Convert to fraction form
    333,163.13/487,249.17 = 487,249.17/x
  3. Step 3: Cross multiply
    333,163.13x = 487,249.17 × 487,249.17
  4. Step 4: Simplify right side
    333,163.13x = 237,411,755,492.87
  5. Step 5: Solve for x
    x = 237,411,755,492.87/333,163.13
  6. Step 6: Final answer
    x = 712,599.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.