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Finding the Third Proportional to 245,859 and 384,006

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Solution

The third proportional to 245,859 and 384,006 is: 599,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,859 : 384,006 = 384,006 : x
  2. Step 2: Convert to fraction form
    245,859/384,006 = 384,006/x
  3. Step 3: Cross multiply
    245,859x = 384,006 × 384,006
  4. Step 4: Simplify right side
    245,859x = 147,460,608,036
  5. Step 5: Solve for x
    x = 147,460,608,036/245,859
  6. Step 6: Final answer
    x = 599,777.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.