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Finding the Third Proportional to 251,289 and 530,523

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Solution

The third proportional to 251,289 and 530,523 is: 1,120,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,289 : 530,523 = 530,523 : x
  2. Step 2: Convert to fraction form
    251,289/530,523 = 530,523/x
  3. Step 3: Cross multiply
    251,289x = 530,523 × 530,523
  4. Step 4: Simplify right side
    251,289x = 281,454,653,529
  5. Step 5: Solve for x
    x = 281,454,653,529/251,289
  6. Step 6: Final answer
    x = 1,120,043.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.