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Finding the Third Proportional to 340,983 and 504,865

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Solution

The third proportional to 340,983 and 504,865 is: 747,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,983 : 504,865 = 504,865 : x
  2. Step 2: Convert to fraction form
    340,983/504,865 = 504,865/x
  3. Step 3: Cross multiply
    340,983x = 504,865 × 504,865
  4. Step 4: Simplify right side
    340,983x = 254,888,668,225
  5. Step 5: Solve for x
    x = 254,888,668,225/340,983
  6. Step 6: Final answer
    x = 747,511.37

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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.