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Finding the Third Proportional to 355,432 and 782,914

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Solution

The third proportional to 355,432 and 782,914 is: 1,724,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,432 : 782,914 = 782,914 : x
  2. Step 2: Convert to fraction form
    355,432/782,914 = 782,914/x
  3. Step 3: Cross multiply
    355,432x = 782,914 × 782,914
  4. Step 4: Simplify right side
    355,432x = 612,954,331,396
  5. Step 5: Solve for x
    x = 612,954,331,396/355,432
  6. Step 6: Final answer
    x = 1,724,533.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.