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Finding the Third Proportional to 246,924 and 373,842

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Solution

The third proportional to 246,924 and 373,842 is: 565,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,924 : 373,842 = 373,842 : x
  2. Step 2: Convert to fraction form
    246,924/373,842 = 373,842/x
  3. Step 3: Cross multiply
    246,924x = 373,842 × 373,842
  4. Step 4: Simplify right side
    246,924x = 139,757,840,964
  5. Step 5: Solve for x
    x = 139,757,840,964/246,924
  6. Step 6: Final answer
    x = 565,995.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.