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Finding the Third Proportional to 370,043 and 797,186

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Solution

The third proportional to 370,043 and 797,186 is: 1,717,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,043 : 797,186 = 797,186 : x
  2. Step 2: Convert to fraction form
    370,043/797,186 = 797,186/x
  3. Step 3: Cross multiply
    370,043x = 797,186 × 797,186
  4. Step 4: Simplify right side
    370,043x = 635,505,518,596
  5. Step 5: Solve for x
    x = 635,505,518,596/370,043
  6. Step 6: Final answer
    x = 1,717,382.89

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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.