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Finding the Third Proportional to 202,820 and 452,224

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Solution

The third proportional to 202,820 and 452,224 is: 1,008,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,820 : 452,224 = 452,224 : x
  2. Step 2: Convert to fraction form
    202,820/452,224 = 452,224/x
  3. Step 3: Cross multiply
    202,820x = 452,224 × 452,224
  4. Step 4: Simplify right side
    202,820x = 204,506,546,176
  5. Step 5: Solve for x
    x = 204,506,546,176/202,820
  6. Step 6: Final answer
    x = 1,008,315.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.