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Finding the Third Proportional to 334,375 and 518,330

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Solution

The third proportional to 334,375 and 518,330 is: 803,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,375 : 518,330 = 518,330 : x
  2. Step 2: Convert to fraction form
    334,375/518,330 = 518,330/x
  3. Step 3: Cross multiply
    334,375x = 518,330 × 518,330
  4. Step 4: Simplify right side
    334,375x = 268,665,988,900
  5. Step 5: Solve for x
    x = 268,665,988,900/334,375
  6. Step 6: Final answer
    x = 803,487.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.