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Finding the Third Proportional to 461,104 and 691,656

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Solution

The third proportional to 461,104 and 691,656 is: 1,037,484

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,104 : 691,656 = 691,656 : x
  2. Step 2: Convert to fraction form
    461,104/691,656 = 691,656/x
  3. Step 3: Cross multiply
    461,104x = 691,656 × 691,656
  4. Step 4: Simplify right side
    461,104x = 478,388,022,336
  5. Step 5: Solve for x
    x = 478,388,022,336/461,104
  6. Step 6: Final answer
    x = 1,037,484

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.