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Finding the Third Proportional to 460,837.13 and 705,288.38

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Solution

The third proportional to 460,837.13 and 705,288.38 is: 1,079,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,837.13 : 705,288.38 = 705,288.38 : x
  2. Step 2: Convert to fraction form
    460,837.13/705,288.38 = 705,288.38/x
  3. Step 3: Cross multiply
    460,837.13x = 705,288.38 × 705,288.38
  4. Step 4: Simplify right side
    460,837.13x = 497,431,691,910.14
  5. Step 5: Solve for x
    x = 497,431,691,910.14/460,837.13
  6. Step 6: Final answer
    x = 1,079,408.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.