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Finding the Third Proportional to 271,618 and 597,380

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Solution

The third proportional to 271,618 and 597,380 is: 1,313,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,618 : 597,380 = 597,380 : x
  2. Step 2: Convert to fraction form
    271,618/597,380 = 597,380/x
  3. Step 3: Cross multiply
    271,618x = 597,380 × 597,380
  4. Step 4: Simplify right side
    271,618x = 356,862,864,400
  5. Step 5: Solve for x
    x = 356,862,864,400/271,618
  6. Step 6: Final answer
    x = 1,313,841.00

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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.