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Finding the Third Proportional to 252,597 and 557,894

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Solution

The third proportional to 252,597 and 557,894 is: 1,232,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,597 : 557,894 = 557,894 : x
  2. Step 2: Convert to fraction form
    252,597/557,894 = 557,894/x
  3. Step 3: Cross multiply
    252,597x = 557,894 × 557,894
  4. Step 4: Simplify right side
    252,597x = 311,245,715,236
  5. Step 5: Solve for x
    x = 311,245,715,236/252,597
  6. Step 6: Final answer
    x = 1,232,182.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.