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Finding the Third Proportional to 264,829.50 and 405,192

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Solution

The third proportional to 264,829.50 and 405,192 is: 619,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.50 : 405,192 = 405,192 : x
  2. Step 2: Convert to fraction form
    264,829.50/405,192 = 405,192/x
  3. Step 3: Cross multiply
    264,829.50x = 405,192 × 405,192
  4. Step 4: Simplify right side
    264,829.50x = 164,180,556,864
  5. Step 5: Solve for x
    x = 164,180,556,864/264,829.50
  6. Step 6: Final answer
    x = 619,948.14

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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.