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Finding the Third Proportional to 205,039.50 and 441,510.50

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Solution

The third proportional to 205,039.50 and 441,510.50 is: 950,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,039.50 : 441,510.50 = 441,510.50 : x
  2. Step 2: Convert to fraction form
    205,039.50/441,510.50 = 441,510.50/x
  3. Step 3: Cross multiply
    205,039.50x = 441,510.50 × 441,510.50
  4. Step 4: Simplify right side
    205,039.50x = 194,931,521,610.25
  5. Step 5: Solve for x
    x = 194,931,521,610.25/205,039.50
  6. Step 6: Final answer
    x = 950,702.29

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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.