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Finding the Third Proportional to 342,076.50 and 728,442

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Solution

The third proportional to 342,076.50 and 728,442 is: 1,551,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,076.50 : 728,442 = 728,442 : x
  2. Step 2: Convert to fraction form
    342,076.50/728,442 = 728,442/x
  3. Step 3: Cross multiply
    342,076.50x = 728,442 × 728,442
  4. Step 4: Simplify right side
    342,076.50x = 530,627,747,364
  5. Step 5: Solve for x
    x = 530,627,747,364/342,076.50
  6. Step 6: Final answer
    x = 1,551,196.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.