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Finding the Third Proportional to 277,114.50 and 597,471

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Solution

The third proportional to 277,114.50 and 597,471 is: 1,288,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,114.50 : 597,471 = 597,471 : x
  2. Step 2: Convert to fraction form
    277,114.50/597,471 = 597,471/x
  3. Step 3: Cross multiply
    277,114.50x = 597,471 × 597,471
  4. Step 4: Simplify right side
    277,114.50x = 356,971,595,841
  5. Step 5: Solve for x
    x = 356,971,595,841/277,114.50
  6. Step 6: Final answer
    x = 1,288,173.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.