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Finding the Third Proportional to 291,100.50 and 434,853

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Solution

The third proportional to 291,100.50 and 434,853 is: 649,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,100.50 : 434,853 = 434,853 : x
  2. Step 2: Convert to fraction form
    291,100.50/434,853 = 434,853/x
  3. Step 3: Cross multiply
    291,100.50x = 434,853 × 434,853
  4. Step 4: Simplify right side
    291,100.50x = 189,097,131,609
  5. Step 5: Solve for x
    x = 189,097,131,609/291,100.50
  6. Step 6: Final answer
    x = 649,593.98

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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.