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Finding the Third Proportional to 520,077 and 825,213

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Solution

The third proportional to 520,077 and 825,213 is: 1,309,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,077 : 825,213 = 825,213 : x
  2. Step 2: Convert to fraction form
    520,077/825,213 = 825,213/x
  3. Step 3: Cross multiply
    520,077x = 825,213 × 825,213
  4. Step 4: Simplify right side
    520,077x = 680,976,495,369
  5. Step 5: Solve for x
    x = 680,976,495,369/520,077
  6. Step 6: Final answer
    x = 1,309,376.29

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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.