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Finding the Third Proportional to 524,882.50 and 1,151,460

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Solution

The third proportional to 524,882.50 and 1,151,460 is: 2,526,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,882.50 : 1,151,460 = 1,151,460 : x
  2. Step 2: Convert to fraction form
    524,882.50/1,151,460 = 1,151,460/x
  3. Step 3: Cross multiply
    524,882.50x = 1,151,460 × 1,151,460
  4. Step 4: Simplify right side
    524,882.50x = 1,325,860,131,600
  5. Step 5: Solve for x
    x = 1,325,860,131,600/524,882.50
  6. Step 6: Final answer
    x = 2,526,013.22

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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.