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Finding the Third Proportional to 281,544 and 597,632

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Solution

The third proportional to 281,544 and 597,632 is: 1,268,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,544 : 597,632 = 597,632 : x
  2. Step 2: Convert to fraction form
    281,544/597,632 = 597,632/x
  3. Step 3: Cross multiply
    281,544x = 597,632 × 597,632
  4. Step 4: Simplify right side
    281,544x = 357,164,007,424
  5. Step 5: Solve for x
    x = 357,164,007,424/281,544
  6. Step 6: Final answer
    x = 1,268,590.37

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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.