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Finding the Third Proportional to 520,632 and 804,544

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Solution

The third proportional to 520,632 and 804,544 is: 1,243,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,632 : 804,544 = 804,544 : x
  2. Step 2: Convert to fraction form
    520,632/804,544 = 804,544/x
  3. Step 3: Cross multiply
    520,632x = 804,544 × 804,544
  4. Step 4: Simplify right side
    520,632x = 647,291,047,936
  5. Step 5: Solve for x
    x = 647,291,047,936/520,632
  6. Step 6: Final answer
    x = 1,243,279.41

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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.