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Finding the Third Proportional to 354,990 and 772,180

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Solution

The third proportional to 354,990 and 772,180 is: 1,679,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,990 : 772,180 = 772,180 : x
  2. Step 2: Convert to fraction form
    354,990/772,180 = 772,180/x
  3. Step 3: Cross multiply
    354,990x = 772,180 × 772,180
  4. Step 4: Simplify right side
    354,990x = 596,261,952,400
  5. Step 5: Solve for x
    x = 596,261,952,400/354,990
  6. Step 6: Final answer
    x = 1,679,658.45

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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.