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Finding the Third Proportional to 293,884.88 and 439,688.25

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Solution

The third proportional to 293,884.88 and 439,688.25 is: 657,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,884.88 : 439,688.25 = 439,688.25 : x
  2. Step 2: Convert to fraction form
    293,884.88/439,688.25 = 439,688.25/x
  3. Step 3: Cross multiply
    293,884.88x = 439,688.25 × 439,688.25
  4. Step 4: Simplify right side
    293,884.88x = 193,325,757,188.06
  5. Step 5: Solve for x
    x = 193,325,757,188.06/293,884.88
  6. Step 6: Final answer
    x = 657,828.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.