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Finding the Third Proportional to 455,703.75 and 997,227

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Solution

The third proportional to 455,703.75 and 997,227 is: 2,182,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,703.75 : 997,227 = 997,227 : x
  2. Step 2: Convert to fraction form
    455,703.75/997,227 = 997,227/x
  3. Step 3: Cross multiply
    455,703.75x = 997,227 × 997,227
  4. Step 4: Simplify right side
    455,703.75x = 994,461,689,529
  5. Step 5: Solve for x
    x = 994,461,689,529/455,703.75
  6. Step 6: Final answer
    x = 2,182,254.79

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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.