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Finding the Third Proportional to 231,008 and 501,472

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Solution

The third proportional to 231,008 and 501,472 is: 1,088,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,008 : 501,472 = 501,472 : x
  2. Step 2: Convert to fraction form
    231,008/501,472 = 501,472/x
  3. Step 3: Cross multiply
    231,008x = 501,472 × 501,472
  4. Step 4: Simplify right side
    231,008x = 251,474,166,784
  5. Step 5: Solve for x
    x = 251,474,166,784/231,008
  6. Step 6: Final answer
    x = 1,088,595.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.