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Finding the Third Proportional to 233,572 and 513,800

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Solution

The third proportional to 233,572 and 513,800 is: 1,130,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572 : 513,800 = 513,800 : x
  2. Step 2: Convert to fraction form
    233,572/513,800 = 513,800/x
  3. Step 3: Cross multiply
    233,572x = 513,800 × 513,800
  4. Step 4: Simplify right side
    233,572x = 263,990,440,000
  5. Step 5: Solve for x
    x = 263,990,440,000/233,572
  6. Step 6: Final answer
    x = 1,130,231.53

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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.