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Finding the Third Proportional to 201,533 and 432,924

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Solution

The third proportional to 201,533 and 432,924 is: 929,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,533 : 432,924 = 432,924 : x
  2. Step 2: Convert to fraction form
    201,533/432,924 = 432,924/x
  3. Step 3: Cross multiply
    201,533x = 432,924 × 432,924
  4. Step 4: Simplify right side
    201,533x = 187,423,189,776
  5. Step 5: Solve for x
    x = 187,423,189,776/201,533
  6. Step 6: Final answer
    x = 929,987.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.