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Finding the Third Proportional to 330,646 and 720,341

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Solution

The third proportional to 330,646 and 720,341 is: 1,569,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,646 : 720,341 = 720,341 : x
  2. Step 2: Convert to fraction form
    330,646/720,341 = 720,341/x
  3. Step 3: Cross multiply
    330,646x = 720,341 × 720,341
  4. Step 4: Simplify right side
    330,646x = 518,891,156,281
  5. Step 5: Solve for x
    x = 518,891,156,281/330,646
  6. Step 6: Final answer
    x = 1,569,325.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.