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Finding the Third Proportional to 246,756 and 535,794

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Solution

The third proportional to 246,756 and 535,794 is: 1,163,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,756 : 535,794 = 535,794 : x
  2. Step 2: Convert to fraction form
    246,756/535,794 = 535,794/x
  3. Step 3: Cross multiply
    246,756x = 535,794 × 535,794
  4. Step 4: Simplify right side
    246,756x = 287,075,210,436
  5. Step 5: Solve for x
    x = 287,075,210,436/246,756
  6. Step 6: Final answer
    x = 1,163,397.08

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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.