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Finding the Third Proportional to 275,622 and 390,106.50

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Solution

The third proportional to 275,622 and 390,106.50 is: 552,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,622 : 390,106.50 = 390,106.50 : x
  2. Step 2: Convert to fraction form
    275,622/390,106.50 = 390,106.50/x
  3. Step 3: Cross multiply
    275,622x = 390,106.50 × 390,106.50
  4. Step 4: Simplify right side
    275,622x = 152,183,081,342.25
  5. Step 5: Solve for x
    x = 152,183,081,342.25/275,622
  6. Step 6: Final answer
    x = 552,144.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.