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Finding the Third Proportional to 336,825 and 508,727.25

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Solution

The third proportional to 336,825 and 508,727.25 is: 768,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,825 : 508,727.25 = 508,727.25 : x
  2. Step 2: Convert to fraction form
    336,825/508,727.25 = 508,727.25/x
  3. Step 3: Cross multiply
    336,825x = 508,727.25 × 508,727.25
  4. Step 4: Simplify right side
    336,825x = 258,803,414,892.56
  5. Step 5: Solve for x
    x = 258,803,414,892.56/336,825
  6. Step 6: Final answer
    x = 768,361.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.