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Finding the Third Proportional to 237,216 and 515,904

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Solution

The third proportional to 237,216 and 515,904 is: 1,122,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,216 : 515,904 = 515,904 : x
  2. Step 2: Convert to fraction form
    237,216/515,904 = 515,904/x
  3. Step 3: Cross multiply
    237,216x = 515,904 × 515,904
  4. Step 4: Simplify right side
    237,216x = 266,156,937,216
  5. Step 5: Solve for x
    x = 266,156,937,216/237,216
  6. Step 6: Final answer
    x = 1,122,002.47

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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.