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Finding the Third Proportional to 252,803 and 546,150

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Solution

The third proportional to 252,803 and 546,150 is: 1,179,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,803 : 546,150 = 546,150 : x
  2. Step 2: Convert to fraction form
    252,803/546,150 = 546,150/x
  3. Step 3: Cross multiply
    252,803x = 546,150 × 546,150
  4. Step 4: Simplify right side
    252,803x = 298,279,822,500
  5. Step 5: Solve for x
    x = 298,279,822,500/252,803
  6. Step 6: Final answer
    x = 1,179,890.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.