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Finding the Third Proportional to 235,952 and 513,372

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Solution

The third proportional to 235,952 and 513,372 is: 1,116,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,952 : 513,372 = 513,372 : x
  2. Step 2: Convert to fraction form
    235,952/513,372 = 513,372/x
  3. Step 3: Cross multiply
    235,952x = 513,372 × 513,372
  4. Step 4: Simplify right side
    235,952x = 263,550,810,384
  5. Step 5: Solve for x
    x = 263,550,810,384/235,952
  6. Step 6: Final answer
    x = 1,116,967.90

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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.