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Finding the Third Proportional to 271,653.75 and 430,056.84

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Solution

The third proportional to 271,653.75 and 430,056.84 is: 680,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,653.75 : 430,056.84 = 430,056.84 : x
  2. Step 2: Convert to fraction form
    271,653.75/430,056.84 = 430,056.84/x
  3. Step 3: Cross multiply
    271,653.75x = 430,056.84 × 430,056.84
  4. Step 4: Simplify right side
    271,653.75x = 184,948,888,856.21
  5. Step 5: Solve for x
    x = 184,948,888,856.21/271,653.75
  6. Step 6: Final answer
    x = 680,825.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.