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Finding the Third Proportional to 285,848 and 616,896

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Solution

The third proportional to 285,848 and 616,896 is: 1,331,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,848 : 616,896 = 616,896 : x
  2. Step 2: Convert to fraction form
    285,848/616,896 = 616,896/x
  3. Step 3: Cross multiply
    285,848x = 616,896 × 616,896
  4. Step 4: Simplify right side
    285,848x = 380,560,674,816
  5. Step 5: Solve for x
    x = 380,560,674,816/285,848
  6. Step 6: Final answer
    x = 1,331,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.