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Finding the Third Proportional to 334,150 and 720,464

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Solution

The third proportional to 334,150 and 720,464 is: 1,553,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,150 : 720,464 = 720,464 : x
  2. Step 2: Convert to fraction form
    334,150/720,464 = 720,464/x
  3. Step 3: Cross multiply
    334,150x = 720,464 × 720,464
  4. Step 4: Simplify right side
    334,150x = 519,068,375,296
  5. Step 5: Solve for x
    x = 519,068,375,296/334,150
  6. Step 6: Final answer
    x = 1,553,399.30

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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.