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Finding the Third Proportional to 232,049 and 491,553

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Solution

The third proportional to 232,049 and 491,553 is: 1,041,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,049 : 491,553 = 491,553 : x
  2. Step 2: Convert to fraction form
    232,049/491,553 = 491,553/x
  3. Step 3: Cross multiply
    232,049x = 491,553 × 491,553
  4. Step 4: Simplify right side
    232,049x = 241,624,351,809
  5. Step 5: Solve for x
    x = 241,624,351,809/232,049
  6. Step 6: Final answer
    x = 1,041,264.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.