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Finding the Third Proportional to 246,202 and 535,542

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Solution

The third proportional to 246,202 and 535,542 is: 1,164,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,202 : 535,542 = 535,542 : x
  2. Step 2: Convert to fraction form
    246,202/535,542 = 535,542/x
  3. Step 3: Cross multiply
    246,202x = 535,542 × 535,542
  4. Step 4: Simplify right side
    246,202x = 286,805,233,764
  5. Step 5: Solve for x
    x = 286,805,233,764/246,202
  6. Step 6: Final answer
    x = 1,164,918.38

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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.