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Finding the Third Proportional to 272,384 and 581,824

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Solution

The third proportional to 272,384 and 581,824 is: 1,242,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,384 : 581,824 = 581,824 : x
  2. Step 2: Convert to fraction form
    272,384/581,824 = 581,824/x
  3. Step 3: Cross multiply
    272,384x = 581,824 × 581,824
  4. Step 4: Simplify right side
    272,384x = 338,519,166,976
  5. Step 5: Solve for x
    x = 338,519,166,976/272,384
  6. Step 6: Final answer
    x = 1,242,801.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.