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Finding the Third Proportional to 271,048 and 594,440

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Solution

The third proportional to 271,048 and 594,440 is: 1,303,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,048 : 594,440 = 594,440 : x
  2. Step 2: Convert to fraction form
    271,048/594,440 = 594,440/x
  3. Step 3: Cross multiply
    271,048x = 594,440 × 594,440
  4. Step 4: Simplify right side
    271,048x = 353,358,913,600
  5. Step 5: Solve for x
    x = 353,358,913,600/271,048
  6. Step 6: Final answer
    x = 1,303,676.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.