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Finding the Third Proportional to 361,986 and 772,046

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Solution

The third proportional to 361,986 and 772,046 is: 1,646,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,986 : 772,046 = 772,046 : x
  2. Step 2: Convert to fraction form
    361,986/772,046 = 772,046/x
  3. Step 3: Cross multiply
    361,986x = 772,046 × 772,046
  4. Step 4: Simplify right side
    361,986x = 596,055,026,116
  5. Step 5: Solve for x
    x = 596,055,026,116/361,986
  6. Step 6: Final answer
    x = 1,646,624.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.