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Finding the Third Proportional to 534,912.50 and 783,165

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Solution

The third proportional to 534,912.50 and 783,165 is: 1,146,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,912.50 : 783,165 = 783,165 : x
  2. Step 2: Convert to fraction form
    534,912.50/783,165 = 783,165/x
  3. Step 3: Cross multiply
    534,912.50x = 783,165 × 783,165
  4. Step 4: Simplify right side
    534,912.50x = 613,347,417,225
  5. Step 5: Solve for x
    x = 613,347,417,225/534,912.50
  6. Step 6: Final answer
    x = 1,146,631.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.