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Finding the Third Proportional to 550,435.50 and 850,702.50

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Solution

The third proportional to 550,435.50 and 850,702.50 is: 1,314,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,435.50 : 850,702.50 = 850,702.50 : x
  2. Step 2: Convert to fraction form
    550,435.50/850,702.50 = 850,702.50/x
  3. Step 3: Cross multiply
    550,435.50x = 850,702.50 × 850,702.50
  4. Step 4: Simplify right side
    550,435.50x = 723,694,743,506.25
  5. Step 5: Solve for x
    x = 723,694,743,506.25/550,435.50
  6. Step 6: Final answer
    x = 1,314,767.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.