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Finding the Third Proportional to 520,625 and 804,533

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Solution

The third proportional to 520,625 and 804,533 is: 1,243,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,625 : 804,533 = 804,533 : x
  2. Step 2: Convert to fraction form
    520,625/804,533 = 804,533/x
  3. Step 3: Cross multiply
    520,625x = 804,533 × 804,533
  4. Step 4: Simplify right side
    520,625x = 647,273,348,089
  5. Step 5: Solve for x
    x = 647,273,348,089/520,625
  6. Step 6: Final answer
    x = 1,243,262.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.