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Finding the Third Proportional to 293,069 and 439,518

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Solution

The third proportional to 293,069 and 439,518 is: 659,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,069 : 439,518 = 439,518 : x
  2. Step 2: Convert to fraction form
    293,069/439,518 = 439,518/x
  3. Step 3: Cross multiply
    293,069x = 439,518 × 439,518
  4. Step 4: Simplify right side
    293,069x = 193,176,072,324
  5. Step 5: Solve for x
    x = 193,176,072,324/293,069
  6. Step 6: Final answer
    x = 659,148.77

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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.