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Finding the Third Proportional to 269,945.50 and 590,586

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Solution

The third proportional to 269,945.50 and 590,586 is: 1,292,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,945.50 : 590,586 = 590,586 : x
  2. Step 2: Convert to fraction form
    269,945.50/590,586 = 590,586/x
  3. Step 3: Cross multiply
    269,945.50x = 590,586 × 590,586
  4. Step 4: Simplify right side
    269,945.50x = 348,791,823,396
  5. Step 5: Solve for x
    x = 348,791,823,396/269,945.50
  6. Step 6: Final answer
    x = 1,292,082.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.