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Finding the Third Proportional to 334,374 and 513,225

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Solution

The third proportional to 334,374 and 513,225 is: 787,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,374 : 513,225 = 513,225 : x
  2. Step 2: Convert to fraction form
    334,374/513,225 = 513,225/x
  3. Step 3: Cross multiply
    334,374x = 513,225 × 513,225
  4. Step 4: Simplify right side
    334,374x = 263,399,900,625
  5. Step 5: Solve for x
    x = 263,399,900,625/334,374
  6. Step 6: Final answer
    x = 787,740.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.