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Finding the Third Proportional to 449,415 and 683,322.75

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Solution

The third proportional to 449,415 and 683,322.75 is: 1,038,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,415 : 683,322.75 = 683,322.75 : x
  2. Step 2: Convert to fraction form
    449,415/683,322.75 = 683,322.75/x
  3. Step 3: Cross multiply
    449,415x = 683,322.75 × 683,322.75
  4. Step 4: Simplify right side
    449,415x = 466,929,980,667.56
  5. Step 5: Solve for x
    x = 466,929,980,667.56/449,415
  6. Step 6: Final answer
    x = 1,038,972.84

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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.