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Finding the Third Proportional to 520,648 and 804,567

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Solution

The third proportional to 520,648 and 804,567 is: 1,243,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,648 : 804,567 = 804,567 : x
  2. Step 2: Convert to fraction form
    520,648/804,567 = 804,567/x
  3. Step 3: Cross multiply
    520,648x = 804,567 × 804,567
  4. Step 4: Simplify right side
    520,648x = 647,328,057,489
  5. Step 5: Solve for x
    x = 647,328,057,489/520,648
  6. Step 6: Final answer
    x = 1,243,312.29

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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.