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Finding the Third Proportional to 368,113.50 and 778,662

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Solution

The third proportional to 368,113.50 and 778,662 is: 1,647,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,113.50 : 778,662 = 778,662 : x
  2. Step 2: Convert to fraction form
    368,113.50/778,662 = 778,662/x
  3. Step 3: Cross multiply
    368,113.50x = 778,662 × 778,662
  4. Step 4: Simplify right side
    368,113.50x = 606,314,510,244
  5. Step 5: Solve for x
    x = 606,314,510,244/368,113.50
  6. Step 6: Final answer
    x = 1,647,085.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.