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Finding the Third Proportional to 248,968 and 546,312

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Solution

The third proportional to 248,968 and 546,312 is: 1,198,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,968 : 546,312 = 546,312 : x
  2. Step 2: Convert to fraction form
    248,968/546,312 = 546,312/x
  3. Step 3: Cross multiply
    248,968x = 546,312 × 546,312
  4. Step 4: Simplify right side
    248,968x = 298,456,801,344
  5. Step 5: Solve for x
    x = 298,456,801,344/248,968
  6. Step 6: Final answer
    x = 1,198,775.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.