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Finding the Third Proportional to 520,624 and 804,531

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Solution

The third proportional to 520,624 and 804,531 is: 1,243,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,624 : 804,531 = 804,531 : x
  2. Step 2: Convert to fraction form
    520,624/804,531 = 804,531/x
  3. Step 3: Cross multiply
    520,624x = 804,531 × 804,531
  4. Step 4: Simplify right side
    520,624x = 647,270,129,961
  5. Step 5: Solve for x
    x = 647,270,129,961/520,624
  6. Step 6: Final answer
    x = 1,243,258.34

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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.