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Finding the Third Proportional to 524,620.50 and 786,939

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Solution

The third proportional to 524,620.50 and 786,939 is: 1,180,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,620.50 : 786,939 = 786,939 : x
  2. Step 2: Convert to fraction form
    524,620.50/786,939 = 786,939/x
  3. Step 3: Cross multiply
    524,620.50x = 786,939 × 786,939
  4. Step 4: Simplify right side
    524,620.50x = 619,272,989,721
  5. Step 5: Solve for x
    x = 619,272,989,721/524,620.50
  6. Step 6: Final answer
    x = 1,180,420.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.