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Finding the Third Proportional to 617,515.68 and 963,621.25

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Solution

The third proportional to 617,515.68 and 963,621.25 is: 1,503,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,515.68 : 963,621.25 = 963,621.25 : x
  2. Step 2: Convert to fraction form
    617,515.68/963,621.25 = 963,621.25/x
  3. Step 3: Cross multiply
    617,515.68x = 963,621.25 × 963,621.25
  4. Step 4: Simplify right side
    617,515.68x = 928,565,905,923.27
  5. Step 5: Solve for x
    x = 928,565,905,923.27/617,515.68
  6. Step 6: Final answer
    x = 1,503,712.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.