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Finding the Third Proportional to 355,187.25 and 785,126.25

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Solution

The third proportional to 355,187.25 and 785,126.25 is: 1,735,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,187.25 : 785,126.25 = 785,126.25 : x
  2. Step 2: Convert to fraction form
    355,187.25/785,126.25 = 785,126.25/x
  3. Step 3: Cross multiply
    355,187.25x = 785,126.25 × 785,126.25
  4. Step 4: Simplify right side
    355,187.25x = 616,423,228,439.06
  5. Step 5: Solve for x
    x = 616,423,228,439.06/355,187.25
  6. Step 6: Final answer
    x = 1,735,488.05

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