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Finding the Third Proportional to 248,454 and 382,348

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Solution

The third proportional to 248,454 and 382,348 is: 588,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,454 : 382,348 = 382,348 : x
  2. Step 2: Convert to fraction form
    248,454/382,348 = 382,348/x
  3. Step 3: Cross multiply
    248,454x = 382,348 × 382,348
  4. Step 4: Simplify right side
    248,454x = 146,189,993,104
  5. Step 5: Solve for x
    x = 146,189,993,104/248,454
  6. Step 6: Final answer
    x = 588,398.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.