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Finding the Third Proportional to 355,357.50 and 769,764

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Solution

The third proportional to 355,357.50 and 769,764 is: 1,667,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,357.50 : 769,764 = 769,764 : x
  2. Step 2: Convert to fraction form
    355,357.50/769,764 = 769,764/x
  3. Step 3: Cross multiply
    355,357.50x = 769,764 × 769,764
  4. Step 4: Simplify right side
    355,357.50x = 592,536,615,696
  5. Step 5: Solve for x
    x = 592,536,615,696/355,357.50
  6. Step 6: Final answer
    x = 1,667,438.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.