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Finding the Third Proportional to 520,090 and 825,234

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Solution

The third proportional to 520,090 and 825,234 is: 1,309,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,090 : 825,234 = 825,234 : x
  2. Step 2: Convert to fraction form
    520,090/825,234 = 825,234/x
  3. Step 3: Cross multiply
    520,090x = 825,234 × 825,234
  4. Step 4: Simplify right side
    520,090x = 681,011,154,756
  5. Step 5: Solve for x
    x = 681,011,154,756/520,090
  6. Step 6: Final answer
    x = 1,309,410.21

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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.