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Finding the Third Proportional to 271,241.13 and 594,153.50

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Solution

The third proportional to 271,241.13 and 594,153.50 is: 1,301,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,241.13 : 594,153.50 = 594,153.50 : x
  2. Step 2: Convert to fraction form
    271,241.13/594,153.50 = 594,153.50/x
  3. Step 3: Cross multiply
    271,241.13x = 594,153.50 × 594,153.50
  4. Step 4: Simplify right side
    271,241.13x = 353,018,381,562.25
  5. Step 5: Solve for x
    x = 353,018,381,562.25/271,241.13
  6. Step 6: Final answer
    x = 1,301,492.84

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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.