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Finding the Third Proportional to 461,121.75 and 705,674.25

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Solution

The third proportional to 461,121.75 and 705,674.25 is: 1,079,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,121.75 : 705,674.25 = 705,674.25 : x
  2. Step 2: Convert to fraction form
    461,121.75/705,674.25 = 705,674.25/x
  3. Step 3: Cross multiply
    461,121.75x = 705,674.25 × 705,674.25
  4. Step 4: Simplify right side
    461,121.75x = 497,976,147,113.06
  5. Step 5: Solve for x
    x = 497,976,147,113.06/461,121.75
  6. Step 6: Final answer
    x = 1,079,923.35

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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.