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Finding the Third Proportional to 464,584.50 and 681,522.75

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Solution

The third proportional to 464,584.50 and 681,522.75 is: 999,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,584.50 : 681,522.75 = 681,522.75 : x
  2. Step 2: Convert to fraction form
    464,584.50/681,522.75 = 681,522.75/x
  3. Step 3: Cross multiply
    464,584.50x = 681,522.75 × 681,522.75
  4. Step 4: Simplify right side
    464,584.50x = 464,473,258,767.56
  5. Step 5: Solve for x
    x = 464,473,258,767.56/464,584.50
  6. Step 6: Final answer
    x = 999,760.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.