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Finding the Third Proportional to 352,289.25 and 785,259

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Solution

The third proportional to 352,289.25 and 785,259 is: 1,750,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,289.25 : 785,259 = 785,259 : x
  2. Step 2: Convert to fraction form
    352,289.25/785,259 = 785,259/x
  3. Step 3: Cross multiply
    352,289.25x = 785,259 × 785,259
  4. Step 4: Simplify right side
    352,289.25x = 616,631,697,081
  5. Step 5: Solve for x
    x = 616,631,697,081/352,289.25
  6. Step 6: Final answer
    x = 1,750,356.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.