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Finding the Third Proportional to 324,902 and 474,681

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Solution

The third proportional to 324,902 and 474,681 is: 693,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,902 : 474,681 = 474,681 : x
  2. Step 2: Convert to fraction form
    324,902/474,681 = 474,681/x
  3. Step 3: Cross multiply
    324,902x = 474,681 × 474,681
  4. Step 4: Simplify right side
    324,902x = 225,322,051,761
  5. Step 5: Solve for x
    x = 225,322,051,761/324,902
  6. Step 6: Final answer
    x = 693,507.74

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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.