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Finding the Third Proportional to 277,132.50 and 595,703.25

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Solution

The third proportional to 277,132.50 and 595,703.25 is: 1,280,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,132.50 : 595,703.25 = 595,703.25 : x
  2. Step 2: Convert to fraction form
    277,132.50/595,703.25 = 595,703.25/x
  3. Step 3: Cross multiply
    277,132.50x = 595,703.25 × 595,703.25
  4. Step 4: Simplify right side
    277,132.50x = 354,862,362,060.56
  5. Step 5: Solve for x
    x = 354,862,362,060.56/277,132.50
  6. Step 6: Final answer
    x = 1,280,479.06

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