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Finding the Third Proportional to 278,024.06 and 607,017.38

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Solution

The third proportional to 278,024.06 and 607,017.38 is: 1,325,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,024.06 : 607,017.38 = 607,017.38 : x
  2. Step 2: Convert to fraction form
    278,024.06/607,017.38 = 607,017.38/x
  3. Step 3: Cross multiply
    278,024.06x = 607,017.38 × 607,017.38
  4. Step 4: Simplify right side
    278,024.06x = 368,470,093,551.89
  5. Step 5: Solve for x
    x = 368,470,093,551.89/278,024.06
  6. Step 6: Final answer
    x = 1,325,317.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.