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Finding the Third Proportional to 548,460 and 833,272

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Solution

The third proportional to 548,460 and 833,272 is: 1,265,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,460 : 833,272 = 833,272 : x
  2. Step 2: Convert to fraction form
    548,460/833,272 = 833,272/x
  3. Step 3: Cross multiply
    548,460x = 833,272 × 833,272
  4. Step 4: Simplify right side
    548,460x = 694,342,225,984
  5. Step 5: Solve for x
    x = 694,342,225,984/548,460
  6. Step 6: Final answer
    x = 1,265,985.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.