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Finding the Third Proportional to 340,362 and 508,923

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Solution

The third proportional to 340,362 and 508,923 is: 760,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,362 : 508,923 = 508,923 : x
  2. Step 2: Convert to fraction form
    340,362/508,923 = 508,923/x
  3. Step 3: Cross multiply
    340,362x = 508,923 × 508,923
  4. Step 4: Simplify right side
    340,362x = 259,002,619,929
  5. Step 5: Solve for x
    x = 259,002,619,929/340,362
  6. Step 6: Final answer
    x = 760,962.21

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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.