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Finding the Third Proportional to 285,444 and 675,054

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Solution

The third proportional to 285,444 and 675,054 is: 1,596,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,444 : 675,054 = 675,054 : x
  2. Step 2: Convert to fraction form
    285,444/675,054 = 675,054/x
  3. Step 3: Cross multiply
    285,444x = 675,054 × 675,054
  4. Step 4: Simplify right side
    285,444x = 455,697,902,916
  5. Step 5: Solve for x
    x = 455,697,902,916/285,444
  6. Step 6: Final answer
    x = 1,596,452.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.