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Finding the Third Proportional to 269,597 and 422,881.50

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Solution

The third proportional to 269,597 and 422,881.50 is: 663,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,597 : 422,881.50 = 422,881.50 : x
  2. Step 2: Convert to fraction form
    269,597/422,881.50 = 422,881.50/x
  3. Step 3: Cross multiply
    269,597x = 422,881.50 × 422,881.50
  4. Step 4: Simplify right side
    269,597x = 178,828,763,042.25
  5. Step 5: Solve for x
    x = 178,828,763,042.25/269,597
  6. Step 6: Final answer
    x = 663,318.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.