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Finding the Third Proportional to 248,698 and 375,411

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Solution

The third proportional to 248,698 and 375,411 is: 566,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,698 : 375,411 = 375,411 : x
  2. Step 2: Convert to fraction form
    248,698/375,411 = 375,411/x
  3. Step 3: Cross multiply
    248,698x = 375,411 × 375,411
  4. Step 4: Simplify right side
    248,698x = 140,933,418,921
  5. Step 5: Solve for x
    x = 140,933,418,921/248,698
  6. Step 6: Final answer
    x = 566,684.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.