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Finding the Third Proportional to 455,717 and 997,252

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Solution

The third proportional to 455,717 and 997,252 is: 2,182,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,717 : 997,252 = 997,252 : x
  2. Step 2: Convert to fraction form
    455,717/997,252 = 997,252/x
  3. Step 3: Cross multiply
    455,717x = 997,252 × 997,252
  4. Step 4: Simplify right side
    455,717x = 994,511,551,504
  5. Step 5: Solve for x
    x = 994,511,551,504/455,717
  6. Step 6: Final answer
    x = 2,182,300.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.