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Finding the Third Proportional to 369,433 and 797,806

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Solution

The third proportional to 369,433 and 797,806 is: 1,722,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,433 : 797,806 = 797,806 : x
  2. Step 2: Convert to fraction form
    369,433/797,806 = 797,806/x
  3. Step 3: Cross multiply
    369,433x = 797,806 × 797,806
  4. Step 4: Simplify right side
    369,433x = 636,494,413,636
  5. Step 5: Solve for x
    x = 636,494,413,636/369,433
  6. Step 6: Final answer
    x = 1,722,895.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.