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Finding the Third Proportional to 212,341 and 500,549

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Solution

The third proportional to 212,341 and 500,549 is: 1,179,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,341 : 500,549 = 500,549 : x
  2. Step 2: Convert to fraction form
    212,341/500,549 = 500,549/x
  3. Step 3: Cross multiply
    212,341x = 500,549 × 500,549
  4. Step 4: Simplify right side
    212,341x = 250,549,301,401
  5. Step 5: Solve for x
    x = 250,549,301,401/212,341
  6. Step 6: Final answer
    x = 1,179,938.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.