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Finding the Third Proportional to 356,194.13 and 749,287.13

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Solution

The third proportional to 356,194.13 and 749,287.13 is: 1,576,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,194.13 : 749,287.13 = 749,287.13 : x
  2. Step 2: Convert to fraction form
    356,194.13/749,287.13 = 749,287.13/x
  3. Step 3: Cross multiply
    356,194.13x = 749,287.13 × 749,287.13
  4. Step 4: Simplify right side
    356,194.13x = 561,431,195,690.77
  5. Step 5: Solve for x
    x = 561,431,195,690.77/356,194.13
  6. Step 6: Final answer
    x = 1,576,194.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.