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Finding the Third Proportional to 269,961 and 590,769

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Solution

The third proportional to 269,961 and 590,769 is: 1,292,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,961 : 590,769 = 590,769 : x
  2. Step 2: Convert to fraction form
    269,961/590,769 = 590,769/x
  3. Step 3: Cross multiply
    269,961x = 590,769 × 590,769
  4. Step 4: Simplify right side
    269,961x = 349,008,011,361
  5. Step 5: Solve for x
    x = 349,008,011,361/269,961
  6. Step 6: Final answer
    x = 1,292,809.00

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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.