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Finding the Third Proportional to 271,516 and 595,574

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Solution

The third proportional to 271,516 and 595,574 is: 1,306,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,516 : 595,574 = 595,574 : x
  2. Step 2: Convert to fraction form
    271,516/595,574 = 595,574/x
  3. Step 3: Cross multiply
    271,516x = 595,574 × 595,574
  4. Step 4: Simplify right side
    271,516x = 354,708,389,476
  5. Step 5: Solve for x
    x = 354,708,389,476/271,516
  6. Step 6: Final answer
    x = 1,306,399.58

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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.