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Finding the Third Proportional to 269,430.75 and 392,299.75

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Solution

The third proportional to 269,430.75 and 392,299.75 is: 571,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,430.75 : 392,299.75 = 392,299.75 : x
  2. Step 2: Convert to fraction form
    269,430.75/392,299.75 = 392,299.75/x
  3. Step 3: Cross multiply
    269,430.75x = 392,299.75 × 392,299.75
  4. Step 4: Simplify right side
    269,430.75x = 153,899,093,850.06
  5. Step 5: Solve for x
    x = 153,899,093,850.06/269,430.75
  6. Step 6: Final answer
    x = 571,200.93

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