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Finding the Third Proportional to 364,634.50 and 787,692

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Solution

The third proportional to 364,634.50 and 787,692 is: 1,701,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,634.50 : 787,692 = 787,692 : x
  2. Step 2: Convert to fraction form
    364,634.50/787,692 = 787,692/x
  3. Step 3: Cross multiply
    364,634.50x = 787,692 × 787,692
  4. Step 4: Simplify right side
    364,634.50x = 620,458,686,864
  5. Step 5: Solve for x
    x = 620,458,686,864/364,634.50
  6. Step 6: Final answer
    x = 1,701,590.74

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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.