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Finding the Third Proportional to 244,080 and 503,220

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Solution

The third proportional to 244,080 and 503,220 is: 1,037,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,080 : 503,220 = 503,220 : x
  2. Step 2: Convert to fraction form
    244,080/503,220 = 503,220/x
  3. Step 3: Cross multiply
    244,080x = 503,220 × 503,220
  4. Step 4: Simplify right side
    244,080x = 253,230,368,400
  5. Step 5: Solve for x
    x = 253,230,368,400/244,080
  6. Step 6: Final answer
    x = 1,037,489.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.