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Finding the Third Proportional to 362,564 and 797,623

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Solution

The third proportional to 362,564 and 797,623 is: 1,754,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564 : 797,623 = 797,623 : x
  2. Step 2: Convert to fraction form
    362,564/797,623 = 797,623/x
  3. Step 3: Cross multiply
    362,564x = 797,623 × 797,623
  4. Step 4: Simplify right side
    362,564x = 636,202,450,129
  5. Step 5: Solve for x
    x = 636,202,450,129/362,564
  6. Step 6: Final answer
    x = 1,754,731.44

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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.