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Finding the Third Proportional to 451,981.13 and 683,803.41

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Solution

The third proportional to 451,981.13 and 683,803.41 is: 1,034,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,981.13 : 683,803.41 = 683,803.41 : x
  2. Step 2: Convert to fraction form
    451,981.13/683,803.41 = 683,803.41/x
  3. Step 3: Cross multiply
    451,981.13x = 683,803.41 × 683,803.41
  4. Step 4: Simplify right side
    451,981.13x = 467,587,098,399.10
  5. Step 5: Solve for x
    x = 467,587,098,399.10/451,981.13
  6. Step 6: Final answer
    x = 1,034,527.93

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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.