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Finding the Third Proportional to 252,726 and 544,620

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Solution

The third proportional to 252,726 and 544,620 is: 1,173,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,726 : 544,620 = 544,620 : x
  2. Step 2: Convert to fraction form
    252,726/544,620 = 544,620/x
  3. Step 3: Cross multiply
    252,726x = 544,620 × 544,620
  4. Step 4: Simplify right side
    252,726x = 296,610,944,400
  5. Step 5: Solve for x
    x = 296,610,944,400/252,726
  6. Step 6: Final answer
    x = 1,173,646.34

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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.