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Finding the Third Proportional to 334,377 and 518,333

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Solution

The third proportional to 334,377 and 518,333 is: 803,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,377 : 518,333 = 518,333 : x
  2. Step 2: Convert to fraction form
    334,377/518,333 = 518,333/x
  3. Step 3: Cross multiply
    334,377x = 518,333 × 518,333
  4. Step 4: Simplify right side
    334,377x = 268,669,098,889
  5. Step 5: Solve for x
    x = 268,669,098,889/334,377
  6. Step 6: Final answer
    x = 803,491.56

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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.