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Finding the Third Proportional to 248,632 and 545,654

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Solution

The third proportional to 248,632 and 545,654 is: 1,197,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,632 : 545,654 = 545,654 : x
  2. Step 2: Convert to fraction form
    248,632/545,654 = 545,654/x
  3. Step 3: Cross multiply
    248,632x = 545,654 × 545,654
  4. Step 4: Simplify right side
    248,632x = 297,738,287,716
  5. Step 5: Solve for x
    x = 297,738,287,716/248,632
  6. Step 6: Final answer
    x = 1,197,505.90

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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.