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Finding the Third Proportional to 455,310 and 668,202.75

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Solution

The third proportional to 455,310 and 668,202.75 is: 980,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,310 : 668,202.75 = 668,202.75 : x
  2. Step 2: Convert to fraction form
    455,310/668,202.75 = 668,202.75/x
  3. Step 3: Cross multiply
    455,310x = 668,202.75 × 668,202.75
  4. Step 4: Simplify right side
    455,310x = 446,494,915,107.56
  5. Step 5: Solve for x
    x = 446,494,915,107.56/455,310
  6. Step 6: Final answer
    x = 980,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.