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Finding the Third Proportional to 617,672.25 and 1,333,759.50

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Solution

The third proportional to 617,672.25 and 1,333,759.50 is: 2,880,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,672.25 : 1,333,759.50 = 1,333,759.50 : x
  2. Step 2: Convert to fraction form
    617,672.25/1,333,759.50 = 1,333,759.50/x
  3. Step 3: Cross multiply
    617,672.25x = 1,333,759.50 × 1,333,759.50
  4. Step 4: Simplify right side
    617,672.25x = 1,778,914,403,840.25
  5. Step 5: Solve for x
    x = 1,778,914,403,840.25/617,672.25
  6. Step 6: Final answer
    x = 2,880,029.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.