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Finding the Third Proportional to 270,796 and 595,576

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Solution

The third proportional to 270,796 and 595,576 is: 1,309,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,796 : 595,576 = 595,576 : x
  2. Step 2: Convert to fraction form
    270,796/595,576 = 595,576/x
  3. Step 3: Cross multiply
    270,796x = 595,576 × 595,576
  4. Step 4: Simplify right side
    270,796x = 354,710,771,776
  5. Step 5: Solve for x
    x = 354,710,771,776/270,796
  6. Step 6: Final answer
    x = 1,309,881.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.