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Finding the Third Proportional to 604,651.50 and 914,793

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Solution

The third proportional to 604,651.50 and 914,793 is: 1,384,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,651.50 : 914,793 = 914,793 : x
  2. Step 2: Convert to fraction form
    604,651.50/914,793 = 914,793/x
  3. Step 3: Cross multiply
    604,651.50x = 914,793 × 914,793
  4. Step 4: Simplify right side
    604,651.50x = 836,846,232,849
  5. Step 5: Solve for x
    x = 836,846,232,849/604,651.50
  6. Step 6: Final answer
    x = 1,384,014.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.