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Finding the Third Proportional to 252,524 and 545,106

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Solution

The third proportional to 252,524 and 545,106 is: 1,176,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,524 : 545,106 = 545,106 : x
  2. Step 2: Convert to fraction form
    252,524/545,106 = 545,106/x
  3. Step 3: Cross multiply
    252,524x = 545,106 × 545,106
  4. Step 4: Simplify right side
    252,524x = 297,140,551,236
  5. Step 5: Solve for x
    x = 297,140,551,236/252,524
  6. Step 6: Final answer
    x = 1,176,682.42

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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.