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Finding the Third Proportional to 202,561 and 436,521

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Solution

The third proportional to 202,561 and 436,521 is: 940,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,561 : 436,521 = 436,521 : x
  2. Step 2: Convert to fraction form
    202,561/436,521 = 436,521/x
  3. Step 3: Cross multiply
    202,561x = 436,521 × 436,521
  4. Step 4: Simplify right side
    202,561x = 190,550,583,441
  5. Step 5: Solve for x
    x = 190,550,583,441/202,561
  6. Step 6: Final answer
    x = 940,707.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.