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Finding the Third Proportional to 272,824 and 420,900

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Solution

The third proportional to 272,824 and 420,900 is: 649,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,824 : 420,900 = 420,900 : x
  2. Step 2: Convert to fraction form
    272,824/420,900 = 420,900/x
  3. Step 3: Cross multiply
    272,824x = 420,900 × 420,900
  4. Step 4: Simplify right side
    272,824x = 177,156,810,000
  5. Step 5: Solve for x
    x = 177,156,810,000/272,824
  6. Step 6: Final answer
    x = 649,344.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.