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Finding the Third Proportional to 434,558.25 and 649,316.25

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Solution

The third proportional to 434,558.25 and 649,316.25 is: 970,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,558.25 : 649,316.25 = 649,316.25 : x
  2. Step 2: Convert to fraction form
    434,558.25/649,316.25 = 649,316.25/x
  3. Step 3: Cross multiply
    434,558.25x = 649,316.25 × 649,316.25
  4. Step 4: Simplify right side
    434,558.25x = 421,611,592,514.06
  5. Step 5: Solve for x
    x = 421,611,592,514.06/434,558.25
  6. Step 6: Final answer
    x = 970,207.31

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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.