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Finding the Third Proportional to 248,027 and 538,335

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Solution

The third proportional to 248,027 and 538,335 is: 1,168,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,027 : 538,335 = 538,335 : x
  2. Step 2: Convert to fraction form
    248,027/538,335 = 538,335/x
  3. Step 3: Cross multiply
    248,027x = 538,335 × 538,335
  4. Step 4: Simplify right side
    248,027x = 289,804,572,225
  5. Step 5: Solve for x
    x = 289,804,572,225/248,027
  6. Step 6: Final answer
    x = 1,168,439.61

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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.