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Finding the Third Proportional to 361,758 and 785,772

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Solution

The third proportional to 361,758 and 785,772 is: 1,706,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,758 : 785,772 = 785,772 : x
  2. Step 2: Convert to fraction form
    361,758/785,772 = 785,772/x
  3. Step 3: Cross multiply
    361,758x = 785,772 × 785,772
  4. Step 4: Simplify right side
    361,758x = 617,437,635,984
  5. Step 5: Solve for x
    x = 617,437,635,984/361,758
  6. Step 6: Final answer
    x = 1,706,769.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.