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Finding the Third Proportional to 275,550 and 390,010

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Solution

The third proportional to 275,550 and 390,010 is: 552,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,550 : 390,010 = 390,010 : x
  2. Step 2: Convert to fraction form
    275,550/390,010 = 390,010/x
  3. Step 3: Cross multiply
    275,550x = 390,010 × 390,010
  4. Step 4: Simplify right side
    275,550x = 152,107,800,100
  5. Step 5: Solve for x
    x = 152,107,800,100/275,550
  6. Step 6: Final answer
    x = 552,015.24

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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.