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Finding the Third Proportional to 233,311 and 360,900

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Solution

The third proportional to 233,311 and 360,900 is: 558,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,311 : 360,900 = 360,900 : x
  2. Step 2: Convert to fraction form
    233,311/360,900 = 360,900/x
  3. Step 3: Cross multiply
    233,311x = 360,900 × 360,900
  4. Step 4: Simplify right side
    233,311x = 130,248,810,000
  5. Step 5: Solve for x
    x = 130,248,810,000/233,311
  6. Step 6: Final answer
    x = 558,262.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.