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Finding the Third Proportional to 248,026 and 538,334

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Solution

The third proportional to 248,026 and 538,334 is: 1,168,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,026 : 538,334 = 538,334 : x
  2. Step 2: Convert to fraction form
    248,026/538,334 = 538,334/x
  3. Step 3: Cross multiply
    248,026x = 538,334 × 538,334
  4. Step 4: Simplify right side
    248,026x = 289,803,495,556
  5. Step 5: Solve for x
    x = 289,803,495,556/248,026
  6. Step 6: Final answer
    x = 1,168,439.98

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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.