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Finding the Third Proportional to 594,671.63 and 905,949.56

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Solution

The third proportional to 594,671.63 and 905,949.56 is: 1,380,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,671.63 : 905,949.56 = 905,949.56 : x
  2. Step 2: Convert to fraction form
    594,671.63/905,949.56 = 905,949.56/x
  3. Step 3: Cross multiply
    594,671.63x = 905,949.56 × 905,949.56
  4. Step 4: Simplify right side
    594,671.63x = 820,744,609,793.94
  5. Step 5: Solve for x
    x = 820,744,609,793.94/594,671.63
  6. Step 6: Final answer
    x = 1,380,164.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.