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Finding the Third Proportional to 237,402 and 505,692

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Solution

The third proportional to 237,402 and 505,692 is: 1,077,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,402 : 505,692 = 505,692 : x
  2. Step 2: Convert to fraction form
    237,402/505,692 = 505,692/x
  3. Step 3: Cross multiply
    237,402x = 505,692 × 505,692
  4. Step 4: Simplify right side
    237,402x = 255,724,398,864
  5. Step 5: Solve for x
    x = 255,724,398,864/237,402
  6. Step 6: Final answer
    x = 1,077,178.79

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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.