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Finding the Third Proportional to 370,838 and 797,584

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Solution

The third proportional to 370,838 and 797,584 is: 1,715,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,838 : 797,584 = 797,584 : x
  2. Step 2: Convert to fraction form
    370,838/797,584 = 797,584/x
  3. Step 3: Cross multiply
    370,838x = 797,584 × 797,584
  4. Step 4: Simplify right side
    370,838x = 636,140,237,056
  5. Step 5: Solve for x
    x = 636,140,237,056/370,838
  6. Step 6: Final answer
    x = 1,715,412.76

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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.