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Finding the Third Proportional to 350,082 and 749,979

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Solution

The third proportional to 350,082 and 749,979 is: 1,606,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,082 : 749,979 = 749,979 : x
  2. Step 2: Convert to fraction form
    350,082/749,979 = 749,979/x
  3. Step 3: Cross multiply
    350,082x = 749,979 × 749,979
  4. Step 4: Simplify right side
    350,082x = 562,468,500,441
  5. Step 5: Solve for x
    x = 562,468,500,441/350,082
  6. Step 6: Final answer
    x = 1,606,676.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.