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Finding the Third Proportional to 253,744 and 546,464

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Solution

The third proportional to 253,744 and 546,464 is: 1,176,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,744 : 546,464 = 546,464 : x
  2. Step 2: Convert to fraction form
    253,744/546,464 = 546,464/x
  3. Step 3: Cross multiply
    253,744x = 546,464 × 546,464
  4. Step 4: Simplify right side
    253,744x = 298,622,903,296
  5. Step 5: Solve for x
    x = 298,622,903,296/253,744
  6. Step 6: Final answer
    x = 1,176,866.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.