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Finding the Third Proportional to 452,172.38 and 703,168.59

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Solution

The third proportional to 452,172.38 and 703,168.59 is: 1,093,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,172.38 : 703,168.59 = 703,168.59 : x
  2. Step 2: Convert to fraction form
    452,172.38/703,168.59 = 703,168.59/x
  3. Step 3: Cross multiply
    452,172.38x = 703,168.59 × 703,168.59
  4. Step 4: Simplify right side
    452,172.38x = 494,446,071,236.35
  5. Step 5: Solve for x
    x = 494,446,071,236.35/452,172.38
  6. Step 6: Final answer
    x = 1,093,490.22

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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.