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Finding the Third Proportional to 246,524 and 352,284

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Solution

The third proportional to 246,524 and 352,284 is: 503,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,524 : 352,284 = 352,284 : x
  2. Step 2: Convert to fraction form
    246,524/352,284 = 352,284/x
  3. Step 3: Cross multiply
    246,524x = 352,284 × 352,284
  4. Step 4: Simplify right side
    246,524x = 124,104,016,656
  5. Step 5: Solve for x
    x = 124,104,016,656/246,524
  6. Step 6: Final answer
    x = 503,415.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.