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Finding the Third Proportional to 355,512.75 and 777,535.50

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Solution

The third proportional to 355,512.75 and 777,535.50 is: 1,700,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,512.75 : 777,535.50 = 777,535.50 : x
  2. Step 2: Convert to fraction form
    355,512.75/777,535.50 = 777,535.50/x
  3. Step 3: Cross multiply
    355,512.75x = 777,535.50 × 777,535.50
  4. Step 4: Simplify right side
    355,512.75x = 604,561,453,760.25
  5. Step 5: Solve for x
    x = 604,561,453,760.25/355,512.75
  6. Step 6: Final answer
    x = 1,700,533.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.