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Finding the Third Proportional to 334,329.75 and 651,906

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Solution

The third proportional to 334,329.75 and 651,906 is: 1,271,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,329.75 : 651,906 = 651,906 : x
  2. Step 2: Convert to fraction form
    334,329.75/651,906 = 651,906/x
  3. Step 3: Cross multiply
    334,329.75x = 651,906 × 651,906
  4. Step 4: Simplify right side
    334,329.75x = 424,981,432,836
  5. Step 5: Solve for x
    x = 424,981,432,836/334,329.75
  6. Step 6: Final answer
    x = 1,271,144.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.