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Finding the Third Proportional to 355,216.50 and 760,977

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Solution

The third proportional to 355,216.50 and 760,977 is: 1,630,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,216.50 : 760,977 = 760,977 : x
  2. Step 2: Convert to fraction form
    355,216.50/760,977 = 760,977/x
  3. Step 3: Cross multiply
    355,216.50x = 760,977 × 760,977
  4. Step 4: Simplify right side
    355,216.50x = 579,085,994,529
  5. Step 5: Solve for x
    x = 579,085,994,529/355,216.50
  6. Step 6: Final answer
    x = 1,630,233.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.