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Finding the Third Proportional to 235,940 and 513,348

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Solution

The third proportional to 235,940 and 513,348 is: 1,116,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,940 : 513,348 = 513,348 : x
  2. Step 2: Convert to fraction form
    235,940/513,348 = 513,348/x
  3. Step 3: Cross multiply
    235,940x = 513,348 × 513,348
  4. Step 4: Simplify right side
    235,940x = 263,526,169,104
  5. Step 5: Solve for x
    x = 263,526,169,104/235,940
  6. Step 6: Final answer
    x = 1,116,920.27

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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.