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Finding the Third Proportional to 332,945 and 510,596

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Solution

The third proportional to 332,945 and 510,596 is: 783,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,945 : 510,596 = 510,596 : x
  2. Step 2: Convert to fraction form
    332,945/510,596 = 510,596/x
  3. Step 3: Cross multiply
    332,945x = 510,596 × 510,596
  4. Step 4: Simplify right side
    332,945x = 260,708,275,216
  5. Step 5: Solve for x
    x = 260,708,275,216/332,945
  6. Step 6: Final answer
    x = 783,037.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.