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Finding the Third Proportional to 340,985 and 504,868

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Solution

The third proportional to 340,985 and 504,868 is: 747,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,985 : 504,868 = 504,868 : x
  2. Step 2: Convert to fraction form
    340,985/504,868 = 504,868/x
  3. Step 3: Cross multiply
    340,985x = 504,868 × 504,868
  4. Step 4: Simplify right side
    340,985x = 254,891,697,424
  5. Step 5: Solve for x
    x = 254,891,697,424/340,985
  6. Step 6: Final answer
    x = 747,515.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.