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Finding the Third Proportional to 248,023 and 538,328

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Solution

The third proportional to 248,023 and 538,328 is: 1,168,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,023 : 538,328 = 538,328 : x
  2. Step 2: Convert to fraction form
    248,023/538,328 = 538,328/x
  3. Step 3: Cross multiply
    248,023x = 538,328 × 538,328
  4. Step 4: Simplify right side
    248,023x = 289,797,035,584
  5. Step 5: Solve for x
    x = 289,797,035,584/248,023
  6. Step 6: Final answer
    x = 1,168,428.07

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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.