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Finding the Third Proportional to 580,693.50 and 1,253,232

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Solution

The third proportional to 580,693.50 and 1,253,232 is: 2,704,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,693.50 : 1,253,232 = 1,253,232 : x
  2. Step 2: Convert to fraction form
    580,693.50/1,253,232 = 1,253,232/x
  3. Step 3: Cross multiply
    580,693.50x = 1,253,232 × 1,253,232
  4. Step 4: Simplify right side
    580,693.50x = 1,570,590,445,824
  5. Step 5: Solve for x
    x = 1,570,590,445,824/580,693.50
  6. Step 6: Final answer
    x = 2,704,680.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.