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Finding the Third Proportional to 244,208 and 507,126

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Solution

The third proportional to 244,208 and 507,126 is: 1,053,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,208 : 507,126 = 507,126 : x
  2. Step 2: Convert to fraction form
    244,208/507,126 = 507,126/x
  3. Step 3: Cross multiply
    244,208x = 507,126 × 507,126
  4. Step 4: Simplify right side
    244,208x = 257,176,779,876
  5. Step 5: Solve for x
    x = 257,176,779,876/244,208
  6. Step 6: Final answer
    x = 1,053,105.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.