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Finding the Third Proportional to 355,235.63 and 677,733.75

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Solution

The third proportional to 355,235.63 and 677,733.75 is: 1,293,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,235.63 : 677,733.75 = 677,733.75 : x
  2. Step 2: Convert to fraction form
    355,235.63/677,733.75 = 677,733.75/x
  3. Step 3: Cross multiply
    355,235.63x = 677,733.75 × 677,733.75
  4. Step 4: Simplify right side
    355,235.63x = 459,323,035,889.06
  5. Step 5: Solve for x
    x = 459,323,035,889.06/355,235.63
  6. Step 6: Final answer
    x = 1,293,009.49

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.