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Finding the Third Proportional to 436,157.63 and 658,382.63

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Solution

The third proportional to 436,157.63 and 658,382.63 is: 993,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,157.63 : 658,382.63 = 658,382.63 : x
  2. Step 2: Convert to fraction form
    436,157.63/658,382.63 = 658,382.63/x
  3. Step 3: Cross multiply
    436,157.63x = 658,382.63 × 658,382.63
  4. Step 4: Simplify right side
    436,157.63x = 433,467,680,901.89
  5. Step 5: Solve for x
    x = 433,467,680,901.89/436,157.63
  6. Step 6: Final answer
    x = 993,832.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.