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Finding the Third Proportional to 457,944.50 and 997,341.50

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Solution

The third proportional to 457,944.50 and 997,341.50 is: 2,172,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,944.50 : 997,341.50 = 997,341.50 : x
  2. Step 2: Convert to fraction form
    457,944.50/997,341.50 = 997,341.50/x
  3. Step 3: Cross multiply
    457,944.50x = 997,341.50 × 997,341.50
  4. Step 4: Simplify right side
    457,944.50x = 994,690,067,622.25
  5. Step 5: Solve for x
    x = 994,690,067,622.25/457,944.50
  6. Step 6: Final answer
    x = 2,172,075.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.