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Finding the Third Proportional to 385,080.38 and 858,703.13

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Solution

The third proportional to 385,080.38 and 858,703.13 is: 1,914,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,080.38 : 858,703.13 = 858,703.13 : x
  2. Step 2: Convert to fraction form
    385,080.38/858,703.13 = 858,703.13/x
  3. Step 3: Cross multiply
    385,080.38x = 858,703.13 × 858,703.13
  4. Step 4: Simplify right side
    385,080.38x = 737,371,056,884.77
  5. Step 5: Solve for x
    x = 737,371,056,884.77/385,080.38
  6. Step 6: Final answer
    x = 1,914,849.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.