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Finding the Third Proportional to 288,869.63 and 433,356.75

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Solution

The third proportional to 288,869.63 and 433,356.75 is: 650,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,869.63 : 433,356.75 = 433,356.75 : x
  2. Step 2: Convert to fraction form
    288,869.63/433,356.75 = 433,356.75/x
  3. Step 3: Cross multiply
    288,869.63x = 433,356.75 × 433,356.75
  4. Step 4: Simplify right side
    288,869.63x = 187,798,072,770.56
  5. Step 5: Solve for x
    x = 187,798,072,770.56/288,869.63
  6. Step 6: Final answer
    x = 650,113.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.