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Finding the Third Proportional to 234,824 and 352,284

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Solution

The third proportional to 234,824 and 352,284 is: 528,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,824 : 352,284 = 352,284 : x
  2. Step 2: Convert to fraction form
    234,824/352,284 = 352,284/x
  3. Step 3: Cross multiply
    234,824x = 352,284 × 352,284
  4. Step 4: Simplify right side
    234,824x = 124,104,016,656
  5. Step 5: Solve for x
    x = 124,104,016,656/234,824
  6. Step 6: Final answer
    x = 528,498.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.