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Finding the Third Proportional to 334,150 and 720,463

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Solution

The third proportional to 334,150 and 720,463 is: 1,553,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,150 : 720,463 = 720,463 : x
  2. Step 2: Convert to fraction form
    334,150/720,463 = 720,463/x
  3. Step 3: Cross multiply
    334,150x = 720,463 × 720,463
  4. Step 4: Simplify right side
    334,150x = 519,066,934,369
  5. Step 5: Solve for x
    x = 519,066,934,369/334,150
  6. Step 6: Final answer
    x = 1,553,394.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.