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Finding the Third Proportional to 246,264 and 535,660

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Solution

The third proportional to 246,264 and 535,660 is: 1,165,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,264 : 535,660 = 535,660 : x
  2. Step 2: Convert to fraction form
    246,264/535,660 = 535,660/x
  3. Step 3: Cross multiply
    246,264x = 535,660 × 535,660
  4. Step 4: Simplify right side
    246,264x = 286,931,635,600
  5. Step 5: Solve for x
    x = 286,931,635,600/246,264
  6. Step 6: Final answer
    x = 1,165,138.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.