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Finding the Third Proportional to 230,960 and 521,660

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Solution

The third proportional to 230,960 and 521,660 is: 1,178,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,960 : 521,660 = 521,660 : x
  2. Step 2: Convert to fraction form
    230,960/521,660 = 521,660/x
  3. Step 3: Cross multiply
    230,960x = 521,660 × 521,660
  4. Step 4: Simplify right side
    230,960x = 272,129,155,600
  5. Step 5: Solve for x
    x = 272,129,155,600/230,960
  6. Step 6: Final answer
    x = 1,178,252.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.