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Finding the Third Proportional to 246,630 and 369,978

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Solution

The third proportional to 246,630 and 369,978 is: 555,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,630 : 369,978 = 369,978 : x
  2. Step 2: Convert to fraction form
    246,630/369,978 = 369,978/x
  3. Step 3: Cross multiply
    246,630x = 369,978 × 369,978
  4. Step 4: Simplify right side
    246,630x = 136,883,720,484
  5. Step 5: Solve for x
    x = 136,883,720,484/246,630
  6. Step 6: Final answer
    x = 555,016.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.