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Finding the Third Proportional to 576,669.38 and 873,615.38

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Solution

The third proportional to 576,669.38 and 873,615.38 is: 1,323,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,669.38 : 873,615.38 = 873,615.38 : x
  2. Step 2: Convert to fraction form
    576,669.38/873,615.38 = 873,615.38/x
  3. Step 3: Cross multiply
    576,669.38x = 873,615.38 × 873,615.38
  4. Step 4: Simplify right side
    576,669.38x = 763,203,823,436.39
  5. Step 5: Solve for x
    x = 763,203,823,436.39/576,669.38
  6. Step 6: Final answer
    x = 1,323,468.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.