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Finding the Third Proportional to 281,962 and 607,933

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Solution

The third proportional to 281,962 and 607,933 is: 1,310,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,962 : 607,933 = 607,933 : x
  2. Step 2: Convert to fraction form
    281,962/607,933 = 607,933/x
  3. Step 3: Cross multiply
    281,962x = 607,933 × 607,933
  4. Step 4: Simplify right side
    281,962x = 369,582,532,489
  5. Step 5: Solve for x
    x = 369,582,532,489/281,962
  6. Step 6: Final answer
    x = 1,310,752.98

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Why These Related Problems?

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