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Finding the Third Proportional to 315,115.50 and 471,573

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Solution

The third proportional to 315,115.50 and 471,573 is: 705,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,115.50 : 471,573 = 471,573 : x
  2. Step 2: Convert to fraction form
    315,115.50/471,573 = 471,573/x
  3. Step 3: Cross multiply
    315,115.50x = 471,573 × 471,573
  4. Step 4: Simplify right side
    315,115.50x = 222,381,094,329
  5. Step 5: Solve for x
    x = 222,381,094,329/315,115.50
  6. Step 6: Final answer
    x = 705,712.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.