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Finding the Third Proportional to 305,280.14 and 448,771.64

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Solution

The third proportional to 305,280.14 and 448,771.64 is: 659,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,280.14 : 448,771.64 = 448,771.64 : x
  2. Step 2: Convert to fraction form
    305,280.14/448,771.64 = 448,771.64/x
  3. Step 3: Cross multiply
    305,280.14x = 448,771.64 × 448,771.64
  4. Step 4: Simplify right side
    305,280.14x = 201,395,985,429.25
  5. Step 5: Solve for x
    x = 201,395,985,429.25/305,280.14
  6. Step 6: Final answer
    x = 659,708.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.