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Finding the Third Proportional to 317,174 and 458,261

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Solution

The third proportional to 317,174 and 458,261 is: 662,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,174 : 458,261 = 458,261 : x
  2. Step 2: Convert to fraction form
    317,174/458,261 = 458,261/x
  3. Step 3: Cross multiply
    317,174x = 458,261 × 458,261
  4. Step 4: Simplify right side
    317,174x = 210,003,144,121
  5. Step 5: Solve for x
    x = 210,003,144,121/317,174
  6. Step 6: Final answer
    x = 662,107.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.