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Finding the Third Proportional to 237,710 and 505,948

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Solution

The third proportional to 237,710 and 505,948 is: 1,076,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,710 : 505,948 = 505,948 : x
  2. Step 2: Convert to fraction form
    237,710/505,948 = 505,948/x
  3. Step 3: Cross multiply
    237,710x = 505,948 × 505,948
  4. Step 4: Simplify right side
    237,710x = 255,983,378,704
  5. Step 5: Solve for x
    x = 255,983,378,704/237,710
  6. Step 6: Final answer
    x = 1,076,872.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.