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Finding the Third Proportional to 293,898 and 439,710

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Solution

The third proportional to 293,898 and 439,710 is: 657,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,898 : 439,710 = 439,710 : x
  2. Step 2: Convert to fraction form
    293,898/439,710 = 439,710/x
  3. Step 3: Cross multiply
    293,898x = 439,710 × 439,710
  4. Step 4: Simplify right side
    293,898x = 193,344,884,100
  5. Step 5: Solve for x
    x = 193,344,884,100/293,898
  6. Step 6: Final answer
    x = 657,863.90

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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.