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Finding the Third Proportional to 244,217 and 508,968

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Solution

The third proportional to 244,217 and 508,968 is: 1,060,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,217 : 508,968 = 508,968 : x
  2. Step 2: Convert to fraction form
    244,217/508,968 = 508,968/x
  3. Step 3: Cross multiply
    244,217x = 508,968 × 508,968
  4. Step 4: Simplify right side
    244,217x = 259,048,425,024
  5. Step 5: Solve for x
    x = 259,048,425,024/244,217
  6. Step 6: Final answer
    x = 1,060,730.52

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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.