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Finding the Third Proportional to 442,533.38 and 670,487.63

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Solution

The third proportional to 442,533.38 and 670,487.63 is: 1,015,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,533.38 : 670,487.63 = 670,487.63 : x
  2. Step 2: Convert to fraction form
    442,533.38/670,487.63 = 670,487.63/x
  3. Step 3: Cross multiply
    442,533.38x = 670,487.63 × 670,487.63
  4. Step 4: Simplify right side
    442,533.38x = 449,553,655,278.14
  5. Step 5: Solve for x
    x = 449,553,655,278.14/442,533.38
  6. Step 6: Final answer
    x = 1,015,863.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.