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Finding the Third Proportional to 352,258 and 785,196

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Solution

The third proportional to 352,258 and 785,196 is: 1,750,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,258 : 785,196 = 785,196 : x
  2. Step 2: Convert to fraction form
    352,258/785,196 = 785,196/x
  3. Step 3: Cross multiply
    352,258x = 785,196 × 785,196
  4. Step 4: Simplify right side
    352,258x = 616,532,758,416
  5. Step 5: Solve for x
    x = 616,532,758,416/352,258
  6. Step 6: Final answer
    x = 1,750,230.68

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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.