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Finding the Third Proportional to 537,714 and 825,370

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Solution

The third proportional to 537,714 and 825,370 is: 1,266,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,714 : 825,370 = 825,370 : x
  2. Step 2: Convert to fraction form
    537,714/825,370 = 825,370/x
  3. Step 3: Cross multiply
    537,714x = 825,370 × 825,370
  4. Step 4: Simplify right side
    537,714x = 681,235,636,900
  5. Step 5: Solve for x
    x = 681,235,636,900/537,714
  6. Step 6: Final answer
    x = 1,266,910.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.