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Finding the Third Proportional to 350,598 and 501,311

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Solution

The third proportional to 350,598 and 501,311 is: 716,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,598 : 501,311 = 501,311 : x
  2. Step 2: Convert to fraction form
    350,598/501,311 = 501,311/x
  3. Step 3: Cross multiply
    350,598x = 501,311 × 501,311
  4. Step 4: Simplify right side
    350,598x = 251,312,718,721
  5. Step 5: Solve for x
    x = 251,312,718,721/350,598
  6. Step 6: Final answer
    x = 716,811.62

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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.