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Finding the Third Proportional to 244,208 and 507,124

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Solution

The third proportional to 244,208 and 507,124 is: 1,053,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,208 : 507,124 = 507,124 : x
  2. Step 2: Convert to fraction form
    244,208/507,124 = 507,124/x
  3. Step 3: Cross multiply
    244,208x = 507,124 × 507,124
  4. Step 4: Simplify right side
    244,208x = 257,174,751,376
  5. Step 5: Solve for x
    x = 257,174,751,376/244,208
  6. Step 6: Final answer
    x = 1,053,097.16

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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.