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Finding the Third Proportional to 237,216 and 513,768

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Solution

The third proportional to 237,216 and 513,768 is: 1,112,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,216 : 513,768 = 513,768 : x
  2. Step 2: Convert to fraction form
    237,216/513,768 = 513,768/x
  3. Step 3: Cross multiply
    237,216x = 513,768 × 513,768
  4. Step 4: Simplify right side
    237,216x = 263,957,557,824
  5. Step 5: Solve for x
    x = 263,957,557,824/237,216
  6. Step 6: Final answer
    x = 1,112,730.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.