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Finding the Third Proportional to 529,512.75 and 1,160,105.63

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Solution

The third proportional to 529,512.75 and 1,160,105.63 is: 2,541,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,512.75 : 1,160,105.63 = 1,160,105.63 : x
  2. Step 2: Convert to fraction form
    529,512.75/1,160,105.63 = 1,160,105.63/x
  3. Step 3: Cross multiply
    529,512.75x = 1,160,105.63 × 1,160,105.63
  4. Step 4: Simplify right side
    529,512.75x = 1,345,845,061,156.64
  5. Step 5: Solve for x
    x = 1,345,845,061,156.64/529,512.75
  6. Step 6: Final answer
    x = 2,541,666.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.