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Finding the Third Proportional to 269,433 and 392,296.50

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Solution

The third proportional to 269,433 and 392,296.50 is: 571,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,433 : 392,296.50 = 392,296.50 : x
  2. Step 2: Convert to fraction form
    269,433/392,296.50 = 392,296.50/x
  3. Step 3: Cross multiply
    269,433x = 392,296.50 × 392,296.50
  4. Step 4: Simplify right side
    269,433x = 153,896,543,912.25
  5. Step 5: Solve for x
    x = 153,896,543,912.25/269,433
  6. Step 6: Final answer
    x = 571,186.69

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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.