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Finding the Third Proportional to 280,727.02 and 608,747.27

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Solution

The third proportional to 280,727.02 and 608,747.27 is: 1,320,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,727.02 : 608,747.27 = 608,747.27 : x
  2. Step 2: Convert to fraction form
    280,727.02/608,747.27 = 608,747.27/x
  3. Step 3: Cross multiply
    280,727.02x = 608,747.27 × 608,747.27
  4. Step 4: Simplify right side
    280,727.02x = 370,573,242,917.59
  5. Step 5: Solve for x
    x = 370,573,242,917.59/280,727.02
  6. Step 6: Final answer
    x = 1,320,048.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.