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Finding the Third Proportional to 245,621 and 537,067

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Solution

The third proportional to 245,621 and 537,067 is: 1,174,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,621 : 537,067 = 537,067 : x
  2. Step 2: Convert to fraction form
    245,621/537,067 = 537,067/x
  3. Step 3: Cross multiply
    245,621x = 537,067 × 537,067
  4. Step 4: Simplify right side
    245,621x = 288,440,962,489
  5. Step 5: Solve for x
    x = 288,440,962,489/245,621
  6. Step 6: Final answer
    x = 1,174,333.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.