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Finding the Third Proportional to 245,518 and 529,767

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Solution

The third proportional to 245,518 and 529,767 is: 1,143,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,518 : 529,767 = 529,767 : x
  2. Step 2: Convert to fraction form
    245,518/529,767 = 529,767/x
  3. Step 3: Cross multiply
    245,518x = 529,767 × 529,767
  4. Step 4: Simplify right side
    245,518x = 280,653,074,289
  5. Step 5: Solve for x
    x = 280,653,074,289/245,518
  6. Step 6: Final answer
    x = 1,143,105.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.