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Finding the Third Proportional to 536,442 and 804,674

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Solution

The third proportional to 536,442 and 804,674 is: 1,207,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,442 : 804,674 = 804,674 : x
  2. Step 2: Convert to fraction form
    536,442/804,674 = 804,674/x
  3. Step 3: Cross multiply
    536,442x = 804,674 × 804,674
  4. Step 4: Simplify right side
    536,442x = 647,500,246,276
  5. Step 5: Solve for x
    x = 647,500,246,276/536,442
  6. Step 6: Final answer
    x = 1,207,027.50

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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.