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Finding the Third Proportional to 237,232 and 521,120

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Solution

The third proportional to 237,232 and 521,120 is: 1,144,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,232 : 521,120 = 521,120 : x
  2. Step 2: Convert to fraction form
    237,232/521,120 = 521,120/x
  3. Step 3: Cross multiply
    237,232x = 521,120 × 521,120
  4. Step 4: Simplify right side
    237,232x = 271,566,054,400
  5. Step 5: Solve for x
    x = 271,566,054,400/237,232
  6. Step 6: Final answer
    x = 1,144,727.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.