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Finding the Third Proportional to 277,393.50 and 596,925

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Solution

The third proportional to 277,393.50 and 596,925 is: 1,284,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,393.50 : 596,925 = 596,925 : x
  2. Step 2: Convert to fraction form
    277,393.50/596,925 = 596,925/x
  3. Step 3: Cross multiply
    277,393.50x = 596,925 × 596,925
  4. Step 4: Simplify right side
    277,393.50x = 356,319,455,625
  5. Step 5: Solve for x
    x = 356,319,455,625/277,393.50
  6. Step 6: Final answer
    x = 1,284,527.05

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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.