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Finding the Third Proportional to 281,536 and 597,616

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Solution

The third proportional to 281,536 and 597,616 is: 1,268,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,536 : 597,616 = 597,616 : x
  2. Step 2: Convert to fraction form
    281,536/597,616 = 597,616/x
  3. Step 3: Cross multiply
    281,536x = 597,616 × 597,616
  4. Step 4: Simplify right side
    281,536x = 357,144,883,456
  5. Step 5: Solve for x
    x = 357,144,883,456/281,536
  6. Step 6: Final answer
    x = 1,268,558.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.