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Finding the Third Proportional to 362,584 and 797,664

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Solution

The third proportional to 362,584 and 797,664 is: 1,754,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,584 : 797,664 = 797,664 : x
  2. Step 2: Convert to fraction form
    362,584/797,664 = 797,664/x
  3. Step 3: Cross multiply
    362,584x = 797,664 × 797,664
  4. Step 4: Simplify right side
    362,584x = 636,267,856,896
  5. Step 5: Solve for x
    x = 636,267,856,896/362,584
  6. Step 6: Final answer
    x = 1,754,815.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.