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Finding the Third Proportional to 248,854 and 385,962

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Solution

The third proportional to 248,854 and 385,962 is: 598,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,854 : 385,962 = 385,962 : x
  2. Step 2: Convert to fraction form
    248,854/385,962 = 385,962/x
  3. Step 3: Cross multiply
    248,854x = 385,962 × 385,962
  4. Step 4: Simplify right side
    248,854x = 148,966,665,444
  5. Step 5: Solve for x
    x = 148,966,665,444/248,854
  6. Step 6: Final answer
    x = 598,610.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.