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Finding the Third Proportional to 355,206.50 and 785,181

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Solution

The third proportional to 355,206.50 and 785,181 is: 1,735,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,206.50 : 785,181 = 785,181 : x
  2. Step 2: Convert to fraction form
    355,206.50/785,181 = 785,181/x
  3. Step 3: Cross multiply
    355,206.50x = 785,181 × 785,181
  4. Step 4: Simplify right side
    355,206.50x = 616,509,202,761
  5. Step 5: Solve for x
    x = 616,509,202,761/355,206.50
  6. Step 6: Final answer
    x = 1,735,636.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.