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Finding the Third Proportional to 271,506 and 596,543

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Solution

The third proportional to 271,506 and 596,543 is: 1,310,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,506 : 596,543 = 596,543 : x
  2. Step 2: Convert to fraction form
    271,506/596,543 = 596,543/x
  3. Step 3: Cross multiply
    271,506x = 596,543 × 596,543
  4. Step 4: Simplify right side
    271,506x = 355,863,550,849
  5. Step 5: Solve for x
    x = 355,863,550,849/271,506
  6. Step 6: Final answer
    x = 1,310,702.34

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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.