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Finding the Third Proportional to 340,866 and 504,737

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Solution

The third proportional to 340,866 and 504,737 is: 747,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,866 : 504,737 = 504,737 : x
  2. Step 2: Convert to fraction form
    340,866/504,737 = 504,737/x
  3. Step 3: Cross multiply
    340,866x = 504,737 × 504,737
  4. Step 4: Simplify right side
    340,866x = 254,759,439,169
  5. Step 5: Solve for x
    x = 254,759,439,169/340,866
  6. Step 6: Final answer
    x = 747,388.82

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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.