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Finding the Third Proportional to 356,346 and 768,392.16

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Solution

The third proportional to 356,346 and 768,392.16 is: 1,656,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,346 : 768,392.16 = 768,392.16 : x
  2. Step 2: Convert to fraction form
    356,346/768,392.16 = 768,392.16/x
  3. Step 3: Cross multiply
    356,346x = 768,392.16 × 768,392.16
  4. Step 4: Simplify right side
    356,346x = 590,426,505,786.52
  5. Step 5: Solve for x
    x = 590,426,505,786.52/356,346
  6. Step 6: Final answer
    x = 1,656,891.07

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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.