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Finding the Third Proportional to 291,024.38 and 434,744.25

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Solution

The third proportional to 291,024.38 and 434,744.25 is: 649,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,024.38 : 434,744.25 = 434,744.25 : x
  2. Step 2: Convert to fraction form
    291,024.38/434,744.25 = 434,744.25/x
  3. Step 3: Cross multiply
    291,024.38x = 434,744.25 × 434,744.25
  4. Step 4: Simplify right side
    291,024.38x = 189,002,562,908.06
  5. Step 5: Solve for x
    x = 189,002,562,908.06/291,024.38
  6. Step 6: Final answer
    x = 649,438.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.