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Finding the Third Proportional to 473,787 and 773,568

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Solution

The third proportional to 473,787 and 773,568 is: 1,263,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,787 : 773,568 = 773,568 : x
  2. Step 2: Convert to fraction form
    473,787/773,568 = 773,568/x
  3. Step 3: Cross multiply
    473,787x = 773,568 × 773,568
  4. Step 4: Simplify right side
    473,787x = 598,407,450,624
  5. Step 5: Solve for x
    x = 598,407,450,624/473,787
  6. Step 6: Final answer
    x = 1,263,030.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.