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Finding the Third Proportional to 309,631.75 and 463,006

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Solution

The third proportional to 309,631.75 and 463,006 is: 692,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,631.75 : 463,006 = 463,006 : x
  2. Step 2: Convert to fraction form
    309,631.75/463,006 = 463,006/x
  3. Step 3: Cross multiply
    309,631.75x = 463,006 × 463,006
  4. Step 4: Simplify right side
    309,631.75x = 214,374,556,036
  5. Step 5: Solve for x
    x = 214,374,556,036/309,631.75
  6. Step 6: Final answer
    x = 692,353.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.