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Finding the Third Proportional to 235,102 and 554,898

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Solution

The third proportional to 235,102 and 554,898 is: 1,309,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102 : 554,898 = 554,898 : x
  2. Step 2: Convert to fraction form
    235,102/554,898 = 554,898/x
  3. Step 3: Cross multiply
    235,102x = 554,898 × 554,898
  4. Step 4: Simplify right side
    235,102x = 307,911,790,404
  5. Step 5: Solve for x
    x = 307,911,790,404/235,102
  6. Step 6: Final answer
    x = 1,309,694.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.