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Finding the Third Proportional to 272,856 and 589,164

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Solution

The third proportional to 272,856 and 589,164 is: 1,272,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,856 : 589,164 = 589,164 : x
  2. Step 2: Convert to fraction form
    272,856/589,164 = 589,164/x
  3. Step 3: Cross multiply
    272,856x = 589,164 × 589,164
  4. Step 4: Simplify right side
    272,856x = 347,114,218,896
  5. Step 5: Solve for x
    x = 347,114,218,896/272,856
  6. Step 6: Final answer
    x = 1,272,151.68

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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.