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Finding the Third Proportional to 334,492 and 720,824

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Solution

The third proportional to 334,492 and 720,824 is: 1,553,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,492 : 720,824 = 720,824 : x
  2. Step 2: Convert to fraction form
    334,492/720,824 = 720,824/x
  3. Step 3: Cross multiply
    334,492x = 720,824 × 720,824
  4. Step 4: Simplify right side
    334,492x = 519,587,238,976
  5. Step 5: Solve for x
    x = 519,587,238,976/334,492
  6. Step 6: Final answer
    x = 1,553,362.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.