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Finding the Third Proportional to 336,344 and 505,929

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Solution

The third proportional to 336,344 and 505,929 is: 761,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,344 : 505,929 = 505,929 : x
  2. Step 2: Convert to fraction form
    336,344/505,929 = 505,929/x
  3. Step 3: Cross multiply
    336,344x = 505,929 × 505,929
  4. Step 4: Simplify right side
    336,344x = 255,964,153,041
  5. Step 5: Solve for x
    x = 255,964,153,041/336,344
  6. Step 6: Final answer
    x = 761,018.94

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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.