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Finding the Third Proportional to 474,104 and 720,371

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Solution

The third proportional to 474,104 and 720,371 is: 1,094,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,104 : 720,371 = 720,371 : x
  2. Step 2: Convert to fraction form
    474,104/720,371 = 720,371/x
  3. Step 3: Cross multiply
    474,104x = 720,371 × 720,371
  4. Step 4: Simplify right side
    474,104x = 518,934,377,641
  5. Step 5: Solve for x
    x = 518,934,377,641/474,104
  6. Step 6: Final answer
    x = 1,094,558.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.