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Finding the Third Proportional to 269,955 and 590,758

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Solution

The third proportional to 269,955 and 590,758 is: 1,292,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,955 : 590,758 = 590,758 : x
  2. Step 2: Convert to fraction form
    269,955/590,758 = 590,758/x
  3. Step 3: Cross multiply
    269,955x = 590,758 × 590,758
  4. Step 4: Simplify right side
    269,955x = 348,995,014,564
  5. Step 5: Solve for x
    x = 348,995,014,564/269,955
  6. Step 6: Final answer
    x = 1,292,789.59

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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.