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Finding the Third Proportional to 361,735 and 785,728

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Solution

The third proportional to 361,735 and 785,728 is: 1,706,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,735 : 785,728 = 785,728 : x
  2. Step 2: Convert to fraction form
    361,735/785,728 = 785,728/x
  3. Step 3: Cross multiply
    361,735x = 785,728 × 785,728
  4. Step 4: Simplify right side
    361,735x = 617,368,489,984
  5. Step 5: Solve for x
    x = 617,368,489,984/361,735
  6. Step 6: Final answer
    x = 1,706,687.19

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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.