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Finding the Third Proportional to 253,470 and 544,380

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Solution

The third proportional to 253,470 and 544,380 is: 1,169,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,470 : 544,380 = 544,380 : x
  2. Step 2: Convert to fraction form
    253,470/544,380 = 544,380/x
  3. Step 3: Cross multiply
    253,470x = 544,380 × 544,380
  4. Step 4: Simplify right side
    253,470x = 296,349,584,400
  5. Step 5: Solve for x
    x = 296,349,584,400/253,470
  6. Step 6: Final answer
    x = 1,169,170.25

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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.