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Finding the Third Proportional to 235,960 and 513,392

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Solution

The third proportional to 235,960 and 513,392 is: 1,117,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,960 : 513,392 = 513,392 : x
  2. Step 2: Convert to fraction form
    235,960/513,392 = 513,392/x
  3. Step 3: Cross multiply
    235,960x = 513,392 × 513,392
  4. Step 4: Simplify right side
    235,960x = 263,571,345,664
  5. Step 5: Solve for x
    x = 263,571,345,664/235,960
  6. Step 6: Final answer
    x = 1,117,017.06

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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.