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Finding the Third Proportional to 520,652 and 804,574

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Solution

The third proportional to 520,652 and 804,574 is: 1,243,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,652 : 804,574 = 804,574 : x
  2. Step 2: Convert to fraction form
    520,652/804,574 = 804,574/x
  3. Step 3: Cross multiply
    520,652x = 804,574 × 804,574
  4. Step 4: Simplify right side
    520,652x = 647,339,321,476
  5. Step 5: Solve for x
    x = 647,339,321,476/520,652
  6. Step 6: Final answer
    x = 1,243,324.37

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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.