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Finding the Third Proportional to 366,132 and 788,442

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Solution

The third proportional to 366,132 and 788,442 is: 1,697,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,132 : 788,442 = 788,442 : x
  2. Step 2: Convert to fraction form
    366,132/788,442 = 788,442/x
  3. Step 3: Cross multiply
    366,132x = 788,442 × 788,442
  4. Step 4: Simplify right side
    366,132x = 621,640,787,364
  5. Step 5: Solve for x
    x = 621,640,787,364/366,132
  6. Step 6: Final answer
    x = 1,697,859.75

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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.