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Finding the Third Proportional to 395,816.63 and 613,089

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Solution

The third proportional to 395,816.63 and 613,089 is: 949,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,816.63 : 613,089 = 613,089 : x
  2. Step 2: Convert to fraction form
    395,816.63/613,089 = 613,089/x
  3. Step 3: Cross multiply
    395,816.63x = 613,089 × 613,089
  4. Step 4: Simplify right side
    395,816.63x = 375,878,121,921
  5. Step 5: Solve for x
    x = 375,878,121,921/395,816.63
  6. Step 6: Final answer
    x = 949,626.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.