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Finding the Third Proportional to 246,768 and 535,818

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Solution

The third proportional to 246,768 and 535,818 is: 1,163,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,768 : 535,818 = 535,818 : x
  2. Step 2: Convert to fraction form
    246,768/535,818 = 535,818/x
  3. Step 3: Cross multiply
    246,768x = 535,818 × 535,818
  4. Step 4: Simplify right side
    246,768x = 287,100,929,124
  5. Step 5: Solve for x
    x = 287,100,929,124/246,768
  6. Step 6: Final answer
    x = 1,163,444.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.