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Finding the Third Proportional to 388,152 and 835,353

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Solution

The third proportional to 388,152 and 835,353 is: 1,797,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,152 : 835,353 = 835,353 : x
  2. Step 2: Convert to fraction form
    388,152/835,353 = 835,353/x
  3. Step 3: Cross multiply
    388,152x = 835,353 × 835,353
  4. Step 4: Simplify right side
    388,152x = 697,814,634,609
  5. Step 5: Solve for x
    x = 697,814,634,609/388,152
  6. Step 6: Final answer
    x = 1,797,787.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.