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Finding the Third Proportional to 281,844 and 617,985

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Solution

The third proportional to 281,844 and 617,985 is: 1,355,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,844 : 617,985 = 617,985 : x
  2. Step 2: Convert to fraction form
    281,844/617,985 = 617,985/x
  3. Step 3: Cross multiply
    281,844x = 617,985 × 617,985
  4. Step 4: Simplify right side
    281,844x = 381,905,460,225
  5. Step 5: Solve for x
    x = 381,905,460,225/281,844
  6. Step 6: Final answer
    x = 1,355,024.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.