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Finding the Third Proportional to 272,787 and 589,132

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Solution

The third proportional to 272,787 and 589,132 is: 1,272,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,787 : 589,132 = 589,132 : x
  2. Step 2: Convert to fraction form
    272,787/589,132 = 589,132/x
  3. Step 3: Cross multiply
    272,787x = 589,132 × 589,132
  4. Step 4: Simplify right side
    272,787x = 347,076,513,424
  5. Step 5: Solve for x
    x = 347,076,513,424/272,787
  6. Step 6: Final answer
    x = 1,272,335.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.