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Finding the Third Proportional to 281,440 and 597,424

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Solution

The third proportional to 281,440 and 597,424 is: 1,268,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,440 : 597,424 = 597,424 : x
  2. Step 2: Convert to fraction form
    281,440/597,424 = 597,424/x
  3. Step 3: Cross multiply
    281,440x = 597,424 × 597,424
  4. Step 4: Simplify right side
    281,440x = 356,915,435,776
  5. Step 5: Solve for x
    x = 356,915,435,776/281,440
  6. Step 6: Final answer
    x = 1,268,175.94

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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.