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Finding the Third Proportional to 364,680 and 787,680

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Solution

The third proportional to 364,680 and 787,680 is: 1,701,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,680 : 787,680 = 787,680 : x
  2. Step 2: Convert to fraction form
    364,680/787,680 = 787,680/x
  3. Step 3: Cross multiply
    364,680x = 787,680 × 787,680
  4. Step 4: Simplify right side
    364,680x = 620,439,782,400
  5. Step 5: Solve for x
    x = 620,439,782,400/364,680
  6. Step 6: Final answer
    x = 1,701,326.59

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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.