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Finding the Third Proportional to 281,573 and 607,156

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Solution

The third proportional to 281,573 and 607,156 is: 1,309,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,573 : 607,156 = 607,156 : x
  2. Step 2: Convert to fraction form
    281,573/607,156 = 607,156/x
  3. Step 3: Cross multiply
    281,573x = 607,156 × 607,156
  4. Step 4: Simplify right side
    281,573x = 368,638,408,336
  5. Step 5: Solve for x
    x = 368,638,408,336/281,573
  6. Step 6: Final answer
    x = 1,309,210.78

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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.