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Finding the Third Proportional to 434,549.25 and 649,302.75

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Solution

The third proportional to 434,549.25 and 649,302.75 is: 970,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,549.25 : 649,302.75 = 649,302.75 : x
  2. Step 2: Convert to fraction form
    434,549.25/649,302.75 = 649,302.75/x
  3. Step 3: Cross multiply
    434,549.25x = 649,302.75 × 649,302.75
  4. Step 4: Simplify right side
    434,549.25x = 421,594,061,157.56
  5. Step 5: Solve for x
    x = 421,594,061,157.56/434,549.25
  6. Step 6: Final answer
    x = 970,187.06

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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.