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Finding the Third Proportional to 506,288 and 1,113,632

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Solution

The third proportional to 506,288 and 1,113,632 is: 2,449,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,288 : 1,113,632 = 1,113,632 : x
  2. Step 2: Convert to fraction form
    506,288/1,113,632 = 1,113,632/x
  3. Step 3: Cross multiply
    506,288x = 1,113,632 × 1,113,632
  4. Step 4: Simplify right side
    506,288x = 1,240,176,231,424
  5. Step 5: Solve for x
    x = 1,240,176,231,424/506,288
  6. Step 6: Final answer
    x = 2,449,546.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.