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Finding the Third Proportional to 239,216 and 503,216

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Solution

The third proportional to 239,216 and 503,216 is: 1,058,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,216 : 503,216 = 503,216 : x
  2. Step 2: Convert to fraction form
    239,216/503,216 = 503,216/x
  3. Step 3: Cross multiply
    239,216x = 503,216 × 503,216
  4. Step 4: Simplify right side
    239,216x = 253,226,342,656
  5. Step 5: Solve for x
    x = 253,226,342,656/239,216
  6. Step 6: Final answer
    x = 1,058,567.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.