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Finding the Third Proportional to 273,924 and 597,672

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Solution

The third proportional to 273,924 and 597,672 is: 1,304,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,924 : 597,672 = 597,672 : x
  2. Step 2: Convert to fraction form
    273,924/597,672 = 597,672/x
  3. Step 3: Cross multiply
    273,924x = 597,672 × 597,672
  4. Step 4: Simplify right side
    273,924x = 357,211,819,584
  5. Step 5: Solve for x
    x = 357,211,819,584/273,924
  6. Step 6: Final answer
    x = 1,304,054.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.