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Finding the Third Proportional to 201,822 and 432,621

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Solution

The third proportional to 201,822 and 432,621 is: 927,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,822 : 432,621 = 432,621 : x
  2. Step 2: Convert to fraction form
    201,822/432,621 = 432,621/x
  3. Step 3: Cross multiply
    201,822x = 432,621 × 432,621
  4. Step 4: Simplify right side
    201,822x = 187,160,929,641
  5. Step 5: Solve for x
    x = 187,160,929,641/201,822
  6. Step 6: Final answer
    x = 927,356.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.