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Finding the Third Proportional to 271,056 and 594,464

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Solution

The third proportional to 271,056 and 594,464 is: 1,303,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,056 : 594,464 = 594,464 : x
  2. Step 2: Convert to fraction form
    271,056/594,464 = 594,464/x
  3. Step 3: Cross multiply
    271,056x = 594,464 × 594,464
  4. Step 4: Simplify right side
    271,056x = 353,387,447,296
  5. Step 5: Solve for x
    x = 353,387,447,296/271,056
  6. Step 6: Final answer
    x = 1,303,743.31

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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.