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Finding the Third Proportional to 435,345.38 and 659,589.38

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Solution

The third proportional to 435,345.38 and 659,589.38 is: 999,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,345.38 : 659,589.38 = 659,589.38 : x
  2. Step 2: Convert to fraction form
    435,345.38/659,589.38 = 659,589.38/x
  3. Step 3: Cross multiply
    435,345.38x = 659,589.38 × 659,589.38
  4. Step 4: Simplify right side
    435,345.38x = 435,058,143,612.89
  5. Step 5: Solve for x
    x = 435,058,143,612.89/435,345.38
  6. Step 6: Final answer
    x = 999,340.22

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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.