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Finding the Third Proportional to 201,816 and 432,609

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Solution

The third proportional to 201,816 and 432,609 is: 927,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816 : 432,609 = 432,609 : x
  2. Step 2: Convert to fraction form
    201,816/432,609 = 432,609/x
  3. Step 3: Cross multiply
    201,816x = 432,609 × 432,609
  4. Step 4: Simplify right side
    201,816x = 187,150,546,881
  5. Step 5: Solve for x
    x = 187,150,546,881/201,816
  6. Step 6: Final answer
    x = 927,332.55

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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.