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Finding the Third Proportional to 369,708 and 788,568

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Solution

The third proportional to 369,708 and 788,568 is: 1,681,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,708 : 788,568 = 788,568 : x
  2. Step 2: Convert to fraction form
    369,708/788,568 = 788,568/x
  3. Step 3: Cross multiply
    369,708x = 788,568 × 788,568
  4. Step 4: Simplify right side
    369,708x = 621,839,490,624
  5. Step 5: Solve for x
    x = 621,839,490,624/369,708
  6. Step 6: Final answer
    x = 1,681,974.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.