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Finding the Third Proportional to 332,260 and 501,846

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Solution

The third proportional to 332,260 and 501,846 is: 757,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,260 : 501,846 = 501,846 : x
  2. Step 2: Convert to fraction form
    332,260/501,846 = 501,846/x
  3. Step 3: Cross multiply
    332,260x = 501,846 × 501,846
  4. Step 4: Simplify right side
    332,260x = 251,849,407,716
  5. Step 5: Solve for x
    x = 251,849,407,716/332,260
  6. Step 6: Final answer
    x = 757,988.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.