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Finding the Third Proportional to 271,572 and 596,640

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Solution

The third proportional to 271,572 and 596,640 is: 1,310,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,572 : 596,640 = 596,640 : x
  2. Step 2: Convert to fraction form
    271,572/596,640 = 596,640/x
  3. Step 3: Cross multiply
    271,572x = 596,640 × 596,640
  4. Step 4: Simplify right side
    271,572x = 355,979,289,600
  5. Step 5: Solve for x
    x = 355,979,289,600/271,572
  6. Step 6: Final answer
    x = 1,310,809.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.