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Finding the Third Proportional to 347,050.50 and 524,266.25

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Solution

The third proportional to 347,050.50 and 524,266.25 is: 791,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,050.50 : 524,266.25 = 524,266.25 : x
  2. Step 2: Convert to fraction form
    347,050.50/524,266.25 = 524,266.25/x
  3. Step 3: Cross multiply
    347,050.50x = 524,266.25 × 524,266.25
  4. Step 4: Simplify right side
    347,050.50x = 274,855,100,889.06
  5. Step 5: Solve for x
    x = 274,855,100,889.06/347,050.50
  6. Step 6: Final answer
    x = 791,974.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.