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Finding the Third Proportional to 369,927 and 808,344

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Solution

The third proportional to 369,927 and 808,344 is: 1,766,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,927 : 808,344 = 808,344 : x
  2. Step 2: Convert to fraction form
    369,927/808,344 = 808,344/x
  3. Step 3: Cross multiply
    369,927x = 808,344 × 808,344
  4. Step 4: Simplify right side
    369,927x = 653,420,022,336
  5. Step 5: Solve for x
    x = 653,420,022,336/369,927
  6. Step 6: Final answer
    x = 1,766,348.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.