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Finding the Third Proportional to 436,414.50 and 677,322

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Solution

The third proportional to 436,414.50 and 677,322 is: 1,051,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,414.50 : 677,322 = 677,322 : x
  2. Step 2: Convert to fraction form
    436,414.50/677,322 = 677,322/x
  3. Step 3: Cross multiply
    436,414.50x = 677,322 × 677,322
  4. Step 4: Simplify right side
    436,414.50x = 458,765,091,684
  5. Step 5: Solve for x
    x = 458,765,091,684/436,414.50
  6. Step 6: Final answer
    x = 1,051,214.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.