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Finding the Third Proportional to 520,626 and 804,534

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Solution

The third proportional to 520,626 and 804,534 is: 1,243,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,626 : 804,534 = 804,534 : x
  2. Step 2: Convert to fraction form
    520,626/804,534 = 804,534/x
  3. Step 3: Cross multiply
    520,626x = 804,534 × 804,534
  4. Step 4: Simplify right side
    520,626x = 647,274,957,156
  5. Step 5: Solve for x
    x = 647,274,957,156/520,626
  6. Step 6: Final answer
    x = 1,243,262.84

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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.