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Finding the Third Proportional to 350,930 and 524,056

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Solution

The third proportional to 350,930 and 524,056 is: 782,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,930 : 524,056 = 524,056 : x
  2. Step 2: Convert to fraction form
    350,930/524,056 = 524,056/x
  3. Step 3: Cross multiply
    350,930x = 524,056 × 524,056
  4. Step 4: Simplify right side
    350,930x = 274,634,691,136
  5. Step 5: Solve for x
    x = 274,634,691,136/350,930
  6. Step 6: Final answer
    x = 782,591.09

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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.