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Finding the Third Proportional to 369,924 and 806,278

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Solution

The third proportional to 369,924 and 806,278 is: 1,757,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,924 : 806,278 = 806,278 : x
  2. Step 2: Convert to fraction form
    369,924/806,278 = 806,278/x
  3. Step 3: Cross multiply
    369,924x = 806,278 × 806,278
  4. Step 4: Simplify right side
    369,924x = 650,084,213,284
  5. Step 5: Solve for x
    x = 650,084,213,284/369,924
  6. Step 6: Final answer
    x = 1,757,345.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.