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Finding the Third Proportional to 524,608.50 and 786,918

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Solution

The third proportional to 524,608.50 and 786,918 is: 1,180,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,608.50 : 786,918 = 786,918 : x
  2. Step 2: Convert to fraction form
    524,608.50/786,918 = 786,918/x
  3. Step 3: Cross multiply
    524,608.50x = 786,918 × 786,918
  4. Step 4: Simplify right side
    524,608.50x = 619,239,938,724
  5. Step 5: Solve for x
    x = 619,239,938,724/524,608.50
  6. Step 6: Final answer
    x = 1,180,384.88

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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.