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Finding the Third Proportional to 366,986 and 788,224

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Solution

The third proportional to 366,986 and 788,224 is: 1,692,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,986 : 788,224 = 788,224 : x
  2. Step 2: Convert to fraction form
    366,986/788,224 = 788,224/x
  3. Step 3: Cross multiply
    366,986x = 788,224 × 788,224
  4. Step 4: Simplify right side
    366,986x = 621,297,074,176
  5. Step 5: Solve for x
    x = 621,297,074,176/366,986
  6. Step 6: Final answer
    x = 1,692,972.14

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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.