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Finding the Third Proportional to 271,242 and 594,155

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Solution

The third proportional to 271,242 and 594,155 is: 1,301,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,242 : 594,155 = 594,155 : x
  2. Step 2: Convert to fraction form
    271,242/594,155 = 594,155/x
  3. Step 3: Cross multiply
    271,242x = 594,155 × 594,155
  4. Step 4: Simplify right side
    271,242x = 353,020,164,025
  5. Step 5: Solve for x
    x = 353,020,164,025/271,242
  6. Step 6: Final answer
    x = 1,301,495.21

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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.