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Finding the Third Proportional to 277,546.50 and 594,499.50

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Solution

The third proportional to 277,546.50 and 594,499.50 is: 1,273,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,546.50 : 594,499.50 = 594,499.50 : x
  2. Step 2: Convert to fraction form
    277,546.50/594,499.50 = 594,499.50/x
  3. Step 3: Cross multiply
    277,546.50x = 594,499.50 × 594,499.50
  4. Step 4: Simplify right side
    277,546.50x = 353,429,655,500.25
  5. Step 5: Solve for x
    x = 353,429,655,500.25/277,546.50
  6. Step 6: Final answer
    x = 1,273,407.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.