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Finding the Third Proportional to 252,458 and 544,282

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Solution

The third proportional to 252,458 and 544,282 is: 1,173,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,458 : 544,282 = 544,282 : x
  2. Step 2: Convert to fraction form
    252,458/544,282 = 544,282/x
  3. Step 3: Cross multiply
    252,458x = 544,282 × 544,282
  4. Step 4: Simplify right side
    252,458x = 296,242,895,524
  5. Step 5: Solve for x
    x = 296,242,895,524/252,458
  6. Step 6: Final answer
    x = 1,173,434.38

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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.