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Finding the Third Proportional to 536,446 and 804,680

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Solution

The third proportional to 536,446 and 804,680 is: 1,207,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,446 : 804,680 = 804,680 : x
  2. Step 2: Convert to fraction form
    536,446/804,680 = 804,680/x
  3. Step 3: Cross multiply
    536,446x = 804,680 × 804,680
  4. Step 4: Simplify right side
    536,446x = 647,509,902,400
  5. Step 5: Solve for x
    x = 647,509,902,400/536,446
  6. Step 6: Final answer
    x = 1,207,036.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.