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Finding the Third Proportional to 277,773 and 597,738

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Solution

The third proportional to 277,773 and 597,738 is: 1,286,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,773 : 597,738 = 597,738 : x
  2. Step 2: Convert to fraction form
    277,773/597,738 = 597,738/x
  3. Step 3: Cross multiply
    277,773x = 597,738 × 597,738
  4. Step 4: Simplify right side
    277,773x = 357,290,716,644
  5. Step 5: Solve for x
    x = 357,290,716,644/277,773
  6. Step 6: Final answer
    x = 1,286,268.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.