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Finding the Third Proportional to 248,978 and 546,332

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Solution

The third proportional to 248,978 and 546,332 is: 1,198,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,978 : 546,332 = 546,332 : x
  2. Step 2: Convert to fraction form
    248,978/546,332 = 546,332/x
  3. Step 3: Cross multiply
    248,978x = 546,332 × 546,332
  4. Step 4: Simplify right side
    248,978x = 298,478,654,224
  5. Step 5: Solve for x
    x = 298,478,654,224/248,978
  6. Step 6: Final answer
    x = 1,198,815.37

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