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Finding the Third Proportional to 271,392 and 594,624

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Solution

The third proportional to 271,392 and 594,624 is: 1,302,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,392 : 594,624 = 594,624 : x
  2. Step 2: Convert to fraction form
    271,392/594,624 = 594,624/x
  3. Step 3: Cross multiply
    271,392x = 594,624 × 594,624
  4. Step 4: Simplify right side
    271,392x = 353,577,701,376
  5. Step 5: Solve for x
    x = 353,577,701,376/271,392
  6. Step 6: Final answer
    x = 1,302,830.23

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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.