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Finding the Third Proportional to 330,986 and 714,464

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Solution

The third proportional to 330,986 and 714,464 is: 1,542,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,986 : 714,464 = 714,464 : x
  2. Step 2: Convert to fraction form
    330,986/714,464 = 714,464/x
  3. Step 3: Cross multiply
    330,986x = 714,464 × 714,464
  4. Step 4: Simplify right side
    330,986x = 510,458,807,296
  5. Step 5: Solve for x
    x = 510,458,807,296/330,986
  6. Step 6: Final answer
    x = 1,542,236.85

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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.