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Finding the Third Proportional to 295,725.75 and 421,444.88

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Solution

The third proportional to 295,725.75 and 421,444.88 is: 600,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,725.75 : 421,444.88 = 421,444.88 : x
  2. Step 2: Convert to fraction form
    295,725.75/421,444.88 = 421,444.88/x
  3. Step 3: Cross multiply
    295,725.75x = 421,444.88 × 421,444.88
  4. Step 4: Simplify right side
    295,725.75x = 177,615,782,663.77
  5. Step 5: Solve for x
    x = 177,615,782,663.77/295,725.75
  6. Step 6: Final answer
    x = 600,609.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.