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Finding the Third Proportional to 237,968 and 519,346

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Solution

The third proportional to 237,968 and 519,346 is: 1,133,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,968 : 519,346 = 519,346 : x
  2. Step 2: Convert to fraction form
    237,968/519,346 = 519,346/x
  3. Step 3: Cross multiply
    237,968x = 519,346 × 519,346
  4. Step 4: Simplify right side
    237,968x = 269,720,267,716
  5. Step 5: Solve for x
    x = 269,720,267,716/237,968
  6. Step 6: Final answer
    x = 1,133,430.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.