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Finding the Third Proportional to 351,510.75 and 524,965.50

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Solution

The third proportional to 351,510.75 and 524,965.50 is: 784,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,510.75 : 524,965.50 = 524,965.50 : x
  2. Step 2: Convert to fraction form
    351,510.75/524,965.50 = 524,965.50/x
  3. Step 3: Cross multiply
    351,510.75x = 524,965.50 × 524,965.50
  4. Step 4: Simplify right side
    351,510.75x = 275,588,776,190.25
  5. Step 5: Solve for x
    x = 275,588,776,190.25/351,510.75
  6. Step 6: Final answer
    x = 784,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.