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Finding the Third Proportional to 235,829 and 333,377

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Solution

The third proportional to 235,829 and 333,377 is: 471,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,829 : 333,377 = 333,377 : x
  2. Step 2: Convert to fraction form
    235,829/333,377 = 333,377/x
  3. Step 3: Cross multiply
    235,829x = 333,377 × 333,377
  4. Step 4: Simplify right side
    235,829x = 111,140,224,129
  5. Step 5: Solve for x
    x = 111,140,224,129/235,829
  6. Step 6: Final answer
    x = 471,274.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.