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Finding the Third Proportional to 536,438 and 804,668

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Solution

The third proportional to 536,438 and 804,668 is: 1,207,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,438 : 804,668 = 804,668 : x
  2. Step 2: Convert to fraction form
    536,438/804,668 = 804,668/x
  3. Step 3: Cross multiply
    536,438x = 804,668 × 804,668
  4. Step 4: Simplify right side
    536,438x = 647,490,590,224
  5. Step 5: Solve for x
    x = 647,490,590,224/536,438
  6. Step 6: Final answer
    x = 1,207,018.50

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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.