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Finding the Third Proportional to 248,624 and 545,637

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Solution

The third proportional to 248,624 and 545,637 is: 1,197,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,624 : 545,637 = 545,637 : x
  2. Step 2: Convert to fraction form
    248,624/545,637 = 545,637/x
  3. Step 3: Cross multiply
    248,624x = 545,637 × 545,637
  4. Step 4: Simplify right side
    248,624x = 297,719,735,769
  5. Step 5: Solve for x
    x = 297,719,735,769/248,624
  6. Step 6: Final answer
    x = 1,197,469.82

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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.