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Finding the Third Proportional to 370,043.44 and 797,186.81

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Solution

The third proportional to 370,043.44 and 797,186.81 is: 1,717,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,043.44 : 797,186.81 = 797,186.81 : x
  2. Step 2: Convert to fraction form
    370,043.44/797,186.81 = 797,186.81/x
  3. Step 3: Cross multiply
    370,043.44x = 797,186.81 × 797,186.81
  4. Step 4: Simplify right side
    370,043.44x = 635,506,814,023.91
  5. Step 5: Solve for x
    x = 635,506,814,023.91/370,043.44
  6. Step 6: Final answer
    x = 1,717,384.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.