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Finding the Third Proportional to 345,055.50 and 754,083

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Solution

The third proportional to 345,055.50 and 754,083 is: 1,647,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,055.50 : 754,083 = 754,083 : x
  2. Step 2: Convert to fraction form
    345,055.50/754,083 = 754,083/x
  3. Step 3: Cross multiply
    345,055.50x = 754,083 × 754,083
  4. Step 4: Simplify right side
    345,055.50x = 568,641,170,889
  5. Step 5: Solve for x
    x = 568,641,170,889/345,055.50
  6. Step 6: Final answer
    x = 1,647,970.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.