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Finding the Third Proportional to 277,657.88 and 594,681.75

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Solution

The third proportional to 277,657.88 and 594,681.75 is: 1,273,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,657.88 : 594,681.75 = 594,681.75 : x
  2. Step 2: Convert to fraction form
    277,657.88/594,681.75 = 594,681.75/x
  3. Step 3: Cross multiply
    277,657.88x = 594,681.75 × 594,681.75
  4. Step 4: Simplify right side
    277,657.88x = 353,646,383,783.06
  5. Step 5: Solve for x
    x = 353,646,383,783.06/277,657.88
  6. Step 6: Final answer
    x = 1,273,676.76

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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.