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Finding the Third Proportional to 369,376 and 795,744

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Solution

The third proportional to 369,376 and 795,744 is: 1,714,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,376 : 795,744 = 795,744 : x
  2. Step 2: Convert to fraction form
    369,376/795,744 = 795,744/x
  3. Step 3: Cross multiply
    369,376x = 795,744 × 795,744
  4. Step 4: Simplify right side
    369,376x = 633,208,513,536
  5. Step 5: Solve for x
    x = 633,208,513,536/369,376
  6. Step 6: Final answer
    x = 1,714,265.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.