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Finding the Third Proportional to 288,070.50 and 436,086

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Solution

The third proportional to 288,070.50 and 436,086 is: 660,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,070.50 : 436,086 = 436,086 : x
  2. Step 2: Convert to fraction form
    288,070.50/436,086 = 436,086/x
  3. Step 3: Cross multiply
    288,070.50x = 436,086 × 436,086
  4. Step 4: Simplify right side
    288,070.50x = 190,170,999,396
  5. Step 5: Solve for x
    x = 190,170,999,396/288,070.50
  6. Step 6: Final answer
    x = 660,154.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.