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Finding the Third Proportional to 335,532 and 508,185

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Solution

The third proportional to 335,532 and 508,185 is: 769,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,532 : 508,185 = 508,185 : x
  2. Step 2: Convert to fraction form
    335,532/508,185 = 508,185/x
  3. Step 3: Cross multiply
    335,532x = 508,185 × 508,185
  4. Step 4: Simplify right side
    335,532x = 258,251,994,225
  5. Step 5: Solve for x
    x = 258,251,994,225/335,532
  6. Step 6: Final answer
    x = 769,679.18

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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.