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Finding the Third Proportional to 460,835.75 and 705,286.75

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Solution

The third proportional to 460,835.75 and 705,286.75 is: 1,079,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,835.75 : 705,286.75 = 705,286.75 : x
  2. Step 2: Convert to fraction form
    460,835.75/705,286.75 = 705,286.75/x
  3. Step 3: Cross multiply
    460,835.75x = 705,286.75 × 705,286.75
  4. Step 4: Simplify right side
    460,835.75x = 497,429,399,725.56
  5. Step 5: Solve for x
    x = 497,429,399,725.56/460,835.75
  6. Step 6: Final answer
    x = 1,079,407.14

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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.