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Finding the Third Proportional to 370,844 and 797,596

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Solution

The third proportional to 370,844 and 797,596 is: 1,715,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,844 : 797,596 = 797,596 : x
  2. Step 2: Convert to fraction form
    370,844/797,596 = 797,596/x
  3. Step 3: Cross multiply
    370,844x = 797,596 × 797,596
  4. Step 4: Simplify right side
    370,844x = 636,159,379,216
  5. Step 5: Solve for x
    x = 636,159,379,216/370,844
  6. Step 6: Final answer
    x = 1,715,436.62

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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.