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Finding the Third Proportional to 270,950 and 595,533

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Solution

The third proportional to 270,950 and 595,533 is: 1,308,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,950 : 595,533 = 595,533 : x
  2. Step 2: Convert to fraction form
    270,950/595,533 = 595,533/x
  3. Step 3: Cross multiply
    270,950x = 595,533 × 595,533
  4. Step 4: Simplify right side
    270,950x = 354,659,554,089
  5. Step 5: Solve for x
    x = 354,659,554,089/270,950
  6. Step 6: Final answer
    x = 1,308,948.35

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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.