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Finding the Third Proportional to 454,248 and 617,172.75

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Solution

The third proportional to 454,248 and 617,172.75 is: 838,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,248 : 617,172.75 = 617,172.75 : x
  2. Step 2: Convert to fraction form
    454,248/617,172.75 = 617,172.75/x
  3. Step 3: Cross multiply
    454,248x = 617,172.75 × 617,172.75
  4. Step 4: Simplify right side
    454,248x = 380,902,203,342.56
  5. Step 5: Solve for x
    x = 380,902,203,342.56/454,248
  6. Step 6: Final answer
    x = 838,533.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.