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Finding the Third Proportional to 458,878.50 and 996,583.50

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Solution

The third proportional to 458,878.50 and 996,583.50 is: 2,164,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,878.50 : 996,583.50 = 996,583.50 : x
  2. Step 2: Convert to fraction form
    458,878.50/996,583.50 = 996,583.50/x
  3. Step 3: Cross multiply
    458,878.50x = 996,583.50 × 996,583.50
  4. Step 4: Simplify right side
    458,878.50x = 993,178,672,472.25
  5. Step 5: Solve for x
    x = 993,178,672,472.25/458,878.50
  6. Step 6: Final answer
    x = 2,164,360.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.