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Finding the Third Proportional to 288,063 and 436,073.63

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Solution

The third proportional to 288,063 and 436,073.63 is: 660,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,063 : 436,073.63 = 436,073.63 : x
  2. Step 2: Convert to fraction form
    288,063/436,073.63 = 436,073.63/x
  3. Step 3: Cross multiply
    288,063x = 436,073.63 × 436,073.63
  4. Step 4: Simplify right side
    288,063x = 190,160,206,420.64
  5. Step 5: Solve for x
    x = 190,160,206,420.64/288,063
  6. Step 6: Final answer
    x = 660,134.09

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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.