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Finding the Third Proportional to 246,755 and 535,791

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Solution

The third proportional to 246,755 and 535,791 is: 1,163,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,755 : 535,791 = 535,791 : x
  2. Step 2: Convert to fraction form
    246,755/535,791 = 535,791/x
  3. Step 3: Cross multiply
    246,755x = 535,791 × 535,791
  4. Step 4: Simplify right side
    246,755x = 287,071,995,681
  5. Step 5: Solve for x
    x = 287,071,995,681/246,755
  6. Step 6: Final answer
    x = 1,163,388.77

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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.