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Finding the Third Proportional to 388,096 and 835,210

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Solution

The third proportional to 388,096 and 835,210 is: 1,797,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,096 : 835,210 = 835,210 : x
  2. Step 2: Convert to fraction form
    388,096/835,210 = 835,210/x
  3. Step 3: Cross multiply
    388,096x = 835,210 × 835,210
  4. Step 4: Simplify right side
    388,096x = 697,575,744,100
  5. Step 5: Solve for x
    x = 697,575,744,100/388,096
  6. Step 6: Final answer
    x = 1,797,430.90

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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.