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Finding the Third Proportional to 291,277.27 and 623,033.02

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Solution

The third proportional to 291,277.27 and 623,033.02 is: 1,332,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,277.27 : 623,033.02 = 623,033.02 : x
  2. Step 2: Convert to fraction form
    291,277.27/623,033.02 = 623,033.02/x
  3. Step 3: Cross multiply
    291,277.27x = 623,033.02 × 623,033.02
  4. Step 4: Simplify right side
    291,277.27x = 388,170,138,558.78
  5. Step 5: Solve for x
    x = 388,170,138,558.78/291,277.27
  6. Step 6: Final answer
    x = 1,332,648.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.