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Finding the Third Proportional to 349,639.03 and 493,514.44

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Solution

The third proportional to 349,639.03 and 493,514.44 is: 696,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,639.03 : 493,514.44 = 493,514.44 : x
  2. Step 2: Convert to fraction form
    349,639.03/493,514.44 = 493,514.44/x
  3. Step 3: Cross multiply
    349,639.03x = 493,514.44 × 493,514.44
  4. Step 4: Simplify right side
    349,639.03x = 243,556,500,020.94
  5. Step 5: Solve for x
    x = 243,556,500,020.94/349,639.03
  6. Step 6: Final answer
    x = 696,594.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.