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Finding the Third Proportional to 324,552 and 474,270

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Solution

The third proportional to 324,552 and 474,270 is: 693,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,552 : 474,270 = 474,270 : x
  2. Step 2: Convert to fraction form
    324,552/474,270 = 474,270/x
  3. Step 3: Cross multiply
    324,552x = 474,270 × 474,270
  4. Step 4: Simplify right side
    324,552x = 224,932,032,900
  5. Step 5: Solve for x
    x = 224,932,032,900/324,552
  6. Step 6: Final answer
    x = 693,053.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.