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Finding the Third Proportional to 233,517 and 513,690

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Solution

The third proportional to 233,517 and 513,690 is: 1,130,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,517 : 513,690 = 513,690 : x
  2. Step 2: Convert to fraction form
    233,517/513,690 = 513,690/x
  3. Step 3: Cross multiply
    233,517x = 513,690 × 513,690
  4. Step 4: Simplify right side
    233,517x = 263,877,416,100
  5. Step 5: Solve for x
    x = 263,877,416,100/233,517
  6. Step 6: Final answer
    x = 1,130,013.73

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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.