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Finding the Third Proportional to 336,878.50 and 506,684.50

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Solution

The third proportional to 336,878.50 and 506,684.50 is: 762,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,878.50 : 506,684.50 = 506,684.50 : x
  2. Step 2: Convert to fraction form
    336,878.50/506,684.50 = 506,684.50/x
  3. Step 3: Cross multiply
    336,878.50x = 506,684.50 × 506,684.50
  4. Step 4: Simplify right side
    336,878.50x = 256,729,182,540.25
  5. Step 5: Solve for x
    x = 256,729,182,540.25/336,878.50
  6. Step 6: Final answer
    x = 762,082.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.