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Finding the Third Proportional to 271,925 and 598,222

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Solution

The third proportional to 271,925 and 598,222 is: 1,316,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,925 : 598,222 = 598,222 : x
  2. Step 2: Convert to fraction form
    271,925/598,222 = 598,222/x
  3. Step 3: Cross multiply
    271,925x = 598,222 × 598,222
  4. Step 4: Simplify right side
    271,925x = 357,869,561,284
  5. Step 5: Solve for x
    x = 357,869,561,284/271,925
  6. Step 6: Final answer
    x = 1,316,059.80

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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.