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Finding the Third Proportional to 296,371.50 and 458,469

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Solution

The third proportional to 296,371.50 and 458,469 is: 709,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,371.50 : 458,469 = 458,469 : x
  2. Step 2: Convert to fraction form
    296,371.50/458,469 = 458,469/x
  3. Step 3: Cross multiply
    296,371.50x = 458,469 × 458,469
  4. Step 4: Simplify right side
    296,371.50x = 210,193,823,961
  5. Step 5: Solve for x
    x = 210,193,823,961/296,371.50
  6. Step 6: Final answer
    x = 709,224.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.