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Finding the Third Proportional to 271,521 and 596,461.50

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Solution

The third proportional to 271,521 and 596,461.50 is: 1,310,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,521 : 596,461.50 = 596,461.50 : x
  2. Step 2: Convert to fraction form
    271,521/596,461.50 = 596,461.50/x
  3. Step 3: Cross multiply
    271,521x = 596,461.50 × 596,461.50
  4. Step 4: Simplify right side
    271,521x = 355,766,320,982.25
  5. Step 5: Solve for x
    x = 355,766,320,982.25/271,521
  6. Step 6: Final answer
    x = 1,310,271.84

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