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Finding the Third Proportional to 207,415.13 and 452,372.63

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Solution

The third proportional to 207,415.13 and 452,372.63 is: 986,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,415.13 : 452,372.63 = 452,372.63 : x
  2. Step 2: Convert to fraction form
    207,415.13/452,372.63 = 452,372.63/x
  3. Step 3: Cross multiply
    207,415.13x = 452,372.63 × 452,372.63
  4. Step 4: Simplify right side
    207,415.13x = 204,640,991,849.39
  5. Step 5: Solve for x
    x = 204,640,991,849.39/207,415.13
  6. Step 6: Final answer
    x = 986,625.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.