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Finding the Third Proportional to 336,348 and 505,935

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Solution

The third proportional to 336,348 and 505,935 is: 761,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,348 : 505,935 = 505,935 : x
  2. Step 2: Convert to fraction form
    336,348/505,935 = 505,935/x
  3. Step 3: Cross multiply
    336,348x = 505,935 × 505,935
  4. Step 4: Simplify right side
    336,348x = 255,970,224,225
  5. Step 5: Solve for x
    x = 255,970,224,225/336,348
  6. Step 6: Final answer
    x = 761,027.94

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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.