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Finding the Third Proportional to 493,350.75 and 1,078,965.56

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Solution

The third proportional to 493,350.75 and 1,078,965.56 is: 2,359,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,350.75 : 1,078,965.56 = 1,078,965.56 : x
  2. Step 2: Convert to fraction form
    493,350.75/1,078,965.56 = 1,078,965.56/x
  3. Step 3: Cross multiply
    493,350.75x = 1,078,965.56 × 1,078,965.56
  4. Step 4: Simplify right side
    493,350.75x = 1,164,166,685,060.94
  5. Step 5: Solve for x
    x = 1,164,166,685,060.94/493,350.75
  6. Step 6: Final answer
    x = 2,359,714.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.