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Finding the Third Proportional to 603,716 and 817,000

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Solution

The third proportional to 603,716 and 817,000 is: 1,105,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,716 : 817,000 = 817,000 : x
  2. Step 2: Convert to fraction form
    603,716/817,000 = 817,000/x
  3. Step 3: Cross multiply
    603,716x = 817,000 × 817,000
  4. Step 4: Simplify right side
    603,716x = 667,489,000,000
  5. Step 5: Solve for x
    x = 667,489,000,000/603,716
  6. Step 6: Final answer
    x = 1,105,634.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.