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Finding the Third Proportional to 211,460.63 and 323,888.63

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Solution

The third proportional to 211,460.63 and 323,888.63 is: 496,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,460.63 : 323,888.63 = 323,888.63 : x
  2. Step 2: Convert to fraction form
    211,460.63/323,888.63 = 323,888.63/x
  3. Step 3: Cross multiply
    211,460.63x = 323,888.63 × 323,888.63
  4. Step 4: Simplify right side
    211,460.63x = 104,903,841,404.39
  5. Step 5: Solve for x
    x = 104,903,841,404.39/211,460.63
  6. Step 6: Final answer
    x = 496,091.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.