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Finding the Third Proportional to 520,074 and 827,484

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Solution

The third proportional to 520,074 and 827,484 is: 1,316,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,074 : 827,484 = 827,484 : x
  2. Step 2: Convert to fraction form
    520,074/827,484 = 827,484/x
  3. Step 3: Cross multiply
    520,074x = 827,484 × 827,484
  4. Step 4: Simplify right side
    520,074x = 684,729,770,256
  5. Step 5: Solve for x
    x = 684,729,770,256/520,074
  6. Step 6: Final answer
    x = 1,316,600.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.