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Finding the Third Proportional to 474,102 and 720,368

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Solution

The third proportional to 474,102 and 720,368 is: 1,094,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,102 : 720,368 = 720,368 : x
  2. Step 2: Convert to fraction form
    474,102/720,368 = 720,368/x
  3. Step 3: Cross multiply
    474,102x = 720,368 × 720,368
  4. Step 4: Simplify right side
    474,102x = 518,930,055,424
  5. Step 5: Solve for x
    x = 518,930,055,424/474,102
  6. Step 6: Final answer
    x = 1,094,553.61

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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.