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Finding the Third Proportional to 252,380 and 555,970

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Solution

The third proportional to 252,380 and 555,970 is: 1,224,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,380 : 555,970 = 555,970 : x
  2. Step 2: Convert to fraction form
    252,380/555,970 = 555,970/x
  3. Step 3: Cross multiply
    252,380x = 555,970 × 555,970
  4. Step 4: Simplify right side
    252,380x = 309,102,640,900
  5. Step 5: Solve for x
    x = 309,102,640,900/252,380
  6. Step 6: Final answer
    x = 1,224,750.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.