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Finding the Third Proportional to 343,180.13 and 521,766.56

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Solution

The third proportional to 343,180.13 and 521,766.56 is: 793,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,180.13 : 521,766.56 = 521,766.56 : x
  2. Step 2: Convert to fraction form
    343,180.13/521,766.56 = 521,766.56/x
  3. Step 3: Cross multiply
    343,180.13x = 521,766.56 × 521,766.56
  4. Step 4: Simplify right side
    343,180.13x = 272,240,345,743.07
  5. Step 5: Solve for x
    x = 272,240,345,743.07/343,180.13
  6. Step 6: Final answer
    x = 793,287.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.