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Finding the Third Proportional to 252,478 and 544,322

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Solution

The third proportional to 252,478 and 544,322 is: 1,173,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,478 : 544,322 = 544,322 : x
  2. Step 2: Convert to fraction form
    252,478/544,322 = 544,322/x
  3. Step 3: Cross multiply
    252,478x = 544,322 × 544,322
  4. Step 4: Simplify right side
    252,478x = 296,286,439,684
  5. Step 5: Solve for x
    x = 296,286,439,684/252,478
  6. Step 6: Final answer
    x = 1,173,513.89

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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.