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Finding the Third Proportional to 488,455.31 and 737,787.09

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Solution

The third proportional to 488,455.31 and 737,787.09 is: 1,114,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,455.31 : 737,787.09 = 737,787.09 : x
  2. Step 2: Convert to fraction form
    488,455.31/737,787.09 = 737,787.09/x
  3. Step 3: Cross multiply
    488,455.31x = 737,787.09 × 737,787.09
  4. Step 4: Simplify right side
    488,455.31x = 544,329,795,704.07
  5. Step 5: Solve for x
    x = 544,329,795,704.07/488,455.31
  6. Step 6: Final answer
    x = 1,114,390.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.