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Finding the Third Proportional to 281,550 and 607,110

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Solution

The third proportional to 281,550 and 607,110 is: 1,309,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,550 : 607,110 = 607,110 : x
  2. Step 2: Convert to fraction form
    281,550/607,110 = 607,110/x
  3. Step 3: Cross multiply
    281,550x = 607,110 × 607,110
  4. Step 4: Simplify right side
    281,550x = 368,582,552,100
  5. Step 5: Solve for x
    x = 368,582,552,100/281,550
  6. Step 6: Final answer
    x = 1,309,119.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.