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Finding the Third Proportional to 202,818 and 452,220

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Solution

The third proportional to 202,818 and 452,220 is: 1,008,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,818 : 452,220 = 452,220 : x
  2. Step 2: Convert to fraction form
    202,818/452,220 = 452,220/x
  3. Step 3: Cross multiply
    202,818x = 452,220 × 452,220
  4. Step 4: Simplify right side
    202,818x = 204,502,928,400
  5. Step 5: Solve for x
    x = 204,502,928,400/202,818
  6. Step 6: Final answer
    x = 1,008,307.59

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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.