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Finding the Third Proportional to 247,272 and 533,964

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Solution

The third proportional to 247,272 and 533,964 is: 1,153,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,272 : 533,964 = 533,964 : x
  2. Step 2: Convert to fraction form
    247,272/533,964 = 533,964/x
  3. Step 3: Cross multiply
    247,272x = 533,964 × 533,964
  4. Step 4: Simplify right side
    247,272x = 285,117,553,296
  5. Step 5: Solve for x
    x = 285,117,553,296/247,272
  6. Step 6: Final answer
    x = 1,153,052.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.