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Finding the Third Proportional to 481,390.17 and 749,689.17

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Solution

The third proportional to 481,390.17 and 749,689.17 is: 1,167,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,390.17 : 749,689.17 = 749,689.17 : x
  2. Step 2: Convert to fraction form
    481,390.17/749,689.17 = 749,689.17/x
  3. Step 3: Cross multiply
    481,390.17x = 749,689.17 × 749,689.17
  4. Step 4: Simplify right side
    481,390.17x = 562,033,854,426.62
  5. Step 5: Solve for x
    x = 562,033,854,426.62/481,390.17
  6. Step 6: Final answer
    x = 1,167,522.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.