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Finding the Third Proportional to 281,999 and 610,735

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Solution

The third proportional to 281,999 and 610,735 is: 1,322,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,999 : 610,735 = 610,735 : x
  2. Step 2: Convert to fraction form
    281,999/610,735 = 610,735/x
  3. Step 3: Cross multiply
    281,999x = 610,735 × 610,735
  4. Step 4: Simplify right side
    281,999x = 372,997,240,225
  5. Step 5: Solve for x
    x = 372,997,240,225/281,999
  6. Step 6: Final answer
    x = 1,322,689.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.