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Finding the Third Proportional to 347,790.75 and 732,944.25

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Solution

The third proportional to 347,790.75 and 732,944.25 is: 1,544,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,790.75 : 732,944.25 = 732,944.25 : x
  2. Step 2: Convert to fraction form
    347,790.75/732,944.25 = 732,944.25/x
  3. Step 3: Cross multiply
    347,790.75x = 732,944.25 × 732,944.25
  4. Step 4: Simplify right side
    347,790.75x = 537,207,273,608.06
  5. Step 5: Solve for x
    x = 537,207,273,608.06/347,790.75
  6. Step 6: Final answer
    x = 1,544,627.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.