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Finding the Third Proportional to 271,773 and 597,312

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Solution

The third proportional to 271,773 and 597,312 is: 1,312,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,773 : 597,312 = 597,312 : x
  2. Step 2: Convert to fraction form
    271,773/597,312 = 597,312/x
  3. Step 3: Cross multiply
    271,773x = 597,312 × 597,312
  4. Step 4: Simplify right side
    271,773x = 356,781,625,344
  5. Step 5: Solve for x
    x = 356,781,625,344/271,773
  6. Step 6: Final answer
    x = 1,312,792.75

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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.