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Finding the Third Proportional to 202,444.13 and 443,024.25

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Solution

The third proportional to 202,444.13 and 443,024.25 is: 969,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,444.13 : 443,024.25 = 443,024.25 : x
  2. Step 2: Convert to fraction form
    202,444.13/443,024.25 = 443,024.25/x
  3. Step 3: Cross multiply
    202,444.13x = 443,024.25 × 443,024.25
  4. Step 4: Simplify right side
    202,444.13x = 196,270,486,088.06
  5. Step 5: Solve for x
    x = 196,270,486,088.06/202,444.13
  6. Step 6: Final answer
    x = 969,504.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.