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Finding the Third Proportional to 293,904 and 439,715

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Solution

The third proportional to 293,904 and 439,715 is: 657,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,904 : 439,715 = 439,715 : x
  2. Step 2: Convert to fraction form
    293,904/439,715 = 439,715/x
  3. Step 3: Cross multiply
    293,904x = 439,715 × 439,715
  4. Step 4: Simplify right side
    293,904x = 193,349,281,225
  5. Step 5: Solve for x
    x = 193,349,281,225/293,904
  6. Step 6: Final answer
    x = 657,865.43

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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.