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Finding the Third Proportional to 451,981.38 and 683,803.75

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Solution

The third proportional to 451,981.38 and 683,803.75 is: 1,034,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,981.38 : 683,803.75 = 683,803.75 : x
  2. Step 2: Convert to fraction form
    451,981.38/683,803.75 = 683,803.75/x
  3. Step 3: Cross multiply
    451,981.38x = 683,803.75 × 683,803.75
  4. Step 4: Simplify right side
    451,981.38x = 467,587,568,514.06
  5. Step 5: Solve for x
    x = 467,587,568,514.06/451,981.38
  6. Step 6: Final answer
    x = 1,034,528.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.