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Finding the Third Proportional to 350,679 and 501,435

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Solution

The third proportional to 350,679 and 501,435 is: 717,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,679 : 501,435 = 501,435 : x
  2. Step 2: Convert to fraction form
    350,679/501,435 = 501,435/x
  3. Step 3: Cross multiply
    350,679x = 501,435 × 501,435
  4. Step 4: Simplify right side
    350,679x = 251,437,059,225
  5. Step 5: Solve for x
    x = 251,437,059,225/350,679
  6. Step 6: Final answer
    x = 717,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.