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Finding the Third Proportional to 299,737.50 and 627,185.63

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Solution

The third proportional to 299,737.50 and 627,185.63 is: 1,312,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,737.50 : 627,185.63 = 627,185.63 : x
  2. Step 2: Convert to fraction form
    299,737.50/627,185.63 = 627,185.63/x
  3. Step 3: Cross multiply
    299,737.50x = 627,185.63 × 627,185.63
  4. Step 4: Simplify right side
    299,737.50x = 393,361,808,206.64
  5. Step 5: Solve for x
    x = 393,361,808,206.64/299,737.50
  6. Step 6: Final answer
    x = 1,312,354.34

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.