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Finding the Third Proportional to 520,073 and 825,207

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Solution

The third proportional to 520,073 and 825,207 is: 1,309,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,073 : 825,207 = 825,207 : x
  2. Step 2: Convert to fraction form
    520,073/825,207 = 825,207/x
  3. Step 3: Cross multiply
    520,073x = 825,207 × 825,207
  4. Step 4: Simplify right side
    520,073x = 680,966,592,849
  5. Step 5: Solve for x
    x = 680,966,592,849/520,073
  6. Step 6: Final answer
    x = 1,309,367.33

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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.