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Finding the Third Proportional to 269,434.75 and 392,305.75

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Solution

The third proportional to 269,434.75 and 392,305.75 is: 571,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,434.75 : 392,305.75 = 392,305.75 : x
  2. Step 2: Convert to fraction form
    269,434.75/392,305.75 = 392,305.75/x
  3. Step 3: Cross multiply
    269,434.75x = 392,305.75 × 392,305.75
  4. Step 4: Simplify right side
    269,434.75x = 153,903,801,483.06
  5. Step 5: Solve for x
    x = 153,903,801,483.06/269,434.75
  6. Step 6: Final answer
    x = 571,209.92

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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.