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Finding the Third Proportional to 326,646 and 768,538.13

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Solution

The third proportional to 326,646 and 768,538.13 is: 1,808,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,646 : 768,538.13 = 768,538.13 : x
  2. Step 2: Convert to fraction form
    326,646/768,538.13 = 768,538.13/x
  3. Step 3: Cross multiply
    326,646x = 768,538.13 × 768,538.13
  4. Step 4: Simplify right side
    326,646x = 590,650,849,578.52
  5. Step 5: Solve for x
    x = 590,650,849,578.52/326,646
  6. Step 6: Final answer
    x = 1,808,229.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.