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Finding the Third Proportional to 263,018.50 and 384,684

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Solution

The third proportional to 263,018.50 and 384,684 is: 562,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,018.50 : 384,684 = 384,684 : x
  2. Step 2: Convert to fraction form
    263,018.50/384,684 = 384,684/x
  3. Step 3: Cross multiply
    263,018.50x = 384,684 × 384,684
  4. Step 4: Simplify right side
    263,018.50x = 147,981,779,856
  5. Step 5: Solve for x
    x = 147,981,779,856/263,018.50
  6. Step 6: Final answer
    x = 562,628.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.