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Finding the Third Proportional to 269,465.48 and 422,712.42

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Solution

The third proportional to 269,465.48 and 422,712.42 is: 663,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,465.48 : 422,712.42 = 422,712.42 : x
  2. Step 2: Convert to fraction form
    269,465.48/422,712.42 = 422,712.42/x
  3. Step 3: Cross multiply
    269,465.48x = 422,712.42 × 422,712.42
  4. Step 4: Simplify right side
    269,465.48x = 178,685,791,607.43
  5. Step 5: Solve for x
    x = 178,685,791,607.43/269,465.48
  6. Step 6: Final answer
    x = 663,111.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.