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Finding the Third Proportional to 355,005 and 772,218

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Solution

The third proportional to 355,005 and 772,218 is: 1,679,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,005 : 772,218 = 772,218 : x
  2. Step 2: Convert to fraction form
    355,005/772,218 = 772,218/x
  3. Step 3: Cross multiply
    355,005x = 772,218 × 772,218
  4. Step 4: Simplify right side
    355,005x = 596,320,639,524
  5. Step 5: Solve for x
    x = 596,320,639,524/355,005
  6. Step 6: Final answer
    x = 1,679,752.79

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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.