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Finding the Third Proportional to 520,626 and 804,535

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Solution

The third proportional to 520,626 and 804,535 is: 1,243,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,626 : 804,535 = 804,535 : x
  2. Step 2: Convert to fraction form
    520,626/804,535 = 804,535/x
  3. Step 3: Cross multiply
    520,626x = 804,535 × 804,535
  4. Step 4: Simplify right side
    520,626x = 647,276,566,225
  5. Step 5: Solve for x
    x = 647,276,566,225/520,626
  6. Step 6: Final answer
    x = 1,243,265.93

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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.