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Finding the Third Proportional to 350,018 and 524,913

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Solution

The third proportional to 350,018 and 524,913 is: 787,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,018 : 524,913 = 524,913 : x
  2. Step 2: Convert to fraction form
    350,018/524,913 = 524,913/x
  3. Step 3: Cross multiply
    350,018x = 524,913 × 524,913
  4. Step 4: Simplify right side
    350,018x = 275,533,657,569
  5. Step 5: Solve for x
    x = 275,533,657,569/350,018
  6. Step 6: Final answer
    x = 787,198.54

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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.