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Finding the Third Proportional to 231,915.38 and 498,889.50

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Solution

The third proportional to 231,915.38 and 498,889.50 is: 1,073,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,915.38 : 498,889.50 = 498,889.50 : x
  2. Step 2: Convert to fraction form
    231,915.38/498,889.50 = 498,889.50/x
  3. Step 3: Cross multiply
    231,915.38x = 498,889.50 × 498,889.50
  4. Step 4: Simplify right side
    231,915.38x = 248,890,733,210.25
  5. Step 5: Solve for x
    x = 248,890,733,210.25/231,915.38
  6. Step 6: Final answer
    x = 1,073,196.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.