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Finding the Third Proportional to 439,037 and 656,683

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Solution

The third proportional to 439,037 and 656,683 is: 982,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,037 : 656,683 = 656,683 : x
  2. Step 2: Convert to fraction form
    439,037/656,683 = 656,683/x
  3. Step 3: Cross multiply
    439,037x = 656,683 × 656,683
  4. Step 4: Simplify right side
    439,037x = 431,232,562,489
  5. Step 5: Solve for x
    x = 431,232,562,489/439,037
  6. Step 6: Final answer
    x = 982,223.74

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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.