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Finding the Third Proportional to 350,930.63 and 524,057.25

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Solution

The third proportional to 350,930.63 and 524,057.25 is: 782,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,930.63 : 524,057.25 = 524,057.25 : x
  2. Step 2: Convert to fraction form
    350,930.63/524,057.25 = 524,057.25/x
  3. Step 3: Cross multiply
    350,930.63x = 524,057.25 × 524,057.25
  4. Step 4: Simplify right side
    350,930.63x = 274,636,001,277.56
  5. Step 5: Solve for x
    x = 274,636,001,277.56/350,930.63
  6. Step 6: Final answer
    x = 782,593.43

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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.