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Finding the Third Proportional to 372,730 and 496,595

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Solution

The third proportional to 372,730 and 496,595 is: 661,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,730 : 496,595 = 496,595 : x
  2. Step 2: Convert to fraction form
    372,730/496,595 = 496,595/x
  3. Step 3: Cross multiply
    372,730x = 496,595 × 496,595
  4. Step 4: Simplify right side
    372,730x = 246,606,594,025
  5. Step 5: Solve for x
    x = 246,606,594,025/372,730
  6. Step 6: Final answer
    x = 661,622.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.