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Finding the Third Proportional to 235,929 and 513,328

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Solution

The third proportional to 235,929 and 513,328 is: 1,116,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,929 : 513,328 = 513,328 : x
  2. Step 2: Convert to fraction form
    235,929/513,328 = 513,328/x
  3. Step 3: Cross multiply
    235,929x = 513,328 × 513,328
  4. Step 4: Simplify right side
    235,929x = 263,505,635,584
  5. Step 5: Solve for x
    x = 263,505,635,584/235,929
  6. Step 6: Final answer
    x = 1,116,885.32

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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.