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Finding the Third Proportional to 322,915.50 and 503,995.50

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Solution

The third proportional to 322,915.50 and 503,995.50 is: 786,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,915.50 : 503,995.50 = 503,995.50 : x
  2. Step 2: Convert to fraction form
    322,915.50/503,995.50 = 503,995.50/x
  3. Step 3: Cross multiply
    322,915.50x = 503,995.50 × 503,995.50
  4. Step 4: Simplify right side
    322,915.50x = 254,011,464,020.25
  5. Step 5: Solve for x
    x = 254,011,464,020.25/322,915.50
  6. Step 6: Final answer
    x = 786,618.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.