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Finding the Third Proportional to 270,078 and 588,754

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Solution

The third proportional to 270,078 and 588,754 is: 1,283,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,078 : 588,754 = 588,754 : x
  2. Step 2: Convert to fraction form
    270,078/588,754 = 588,754/x
  3. Step 3: Cross multiply
    270,078x = 588,754 × 588,754
  4. Step 4: Simplify right side
    270,078x = 346,631,272,516
  5. Step 5: Solve for x
    x = 346,631,272,516/270,078
  6. Step 6: Final answer
    x = 1,283,448.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.