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Finding the Third Proportional to 363,904 and 789,656

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Solution

The third proportional to 363,904 and 789,656 is: 1,713,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,904 : 789,656 = 789,656 : x
  2. Step 2: Convert to fraction form
    363,904/789,656 = 789,656/x
  3. Step 3: Cross multiply
    363,904x = 789,656 × 789,656
  4. Step 4: Simplify right side
    363,904x = 623,556,598,336
  5. Step 5: Solve for x
    x = 623,556,598,336/363,904
  6. Step 6: Final answer
    x = 1,713,519.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.