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Finding the Third Proportional to 441,938.53 and 662,178.80

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Solution

The third proportional to 441,938.53 and 662,178.80 is: 992,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,938.53 : 662,178.80 = 662,178.80 : x
  2. Step 2: Convert to fraction form
    441,938.53/662,178.80 = 662,178.80/x
  3. Step 3: Cross multiply
    441,938.53x = 662,178.80 × 662,178.80
  4. Step 4: Simplify right side
    441,938.53x = 438,480,759,030.82
  5. Step 5: Solve for x
    x = 438,480,759,030.82/441,938.53
  6. Step 6: Final answer
    x = 992,175.90

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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.