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Finding the Third Proportional to 272,851 and 589,153

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Solution

The third proportional to 272,851 and 589,153 is: 1,272,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,851 : 589,153 = 589,153 : x
  2. Step 2: Convert to fraction form
    272,851/589,153 = 589,153/x
  3. Step 3: Cross multiply
    272,851x = 589,153 × 589,153
  4. Step 4: Simplify right side
    272,851x = 347,101,257,409
  5. Step 5: Solve for x
    x = 347,101,257,409/272,851
  6. Step 6: Final answer
    x = 1,272,127.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.