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Finding the Third Proportional to 520,084 and 825,224

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Solution

The third proportional to 520,084 and 825,224 is: 1,309,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,084 : 825,224 = 825,224 : x
  2. Step 2: Convert to fraction form
    520,084/825,224 = 825,224/x
  3. Step 3: Cross multiply
    520,084x = 825,224 × 825,224
  4. Step 4: Simplify right side
    520,084x = 680,994,650,176
  5. Step 5: Solve for x
    x = 680,994,650,176/520,084
  6. Step 6: Final answer
    x = 1,309,393.58

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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.