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Finding the Third Proportional to 434,469 and 649,242

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Solution

The third proportional to 434,469 and 649,242 is: 970,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,469 : 649,242 = 649,242 : x
  2. Step 2: Convert to fraction form
    434,469/649,242 = 649,242/x
  3. Step 3: Cross multiply
    434,469x = 649,242 × 649,242
  4. Step 4: Simplify right side
    434,469x = 421,515,174,564
  5. Step 5: Solve for x
    x = 421,515,174,564/434,469
  6. Step 6: Final answer
    x = 970,184.70

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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.