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Finding the Third Proportional to 350,019 and 749,772

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Solution

The third proportional to 350,019 and 749,772 is: 1,606,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,019 : 749,772 = 749,772 : x
  2. Step 2: Convert to fraction form
    350,019/749,772 = 749,772/x
  3. Step 3: Cross multiply
    350,019x = 749,772 × 749,772
  4. Step 4: Simplify right side
    350,019x = 562,158,051,984
  5. Step 5: Solve for x
    x = 562,158,051,984/350,019
  6. Step 6: Final answer
    x = 1,606,078.68

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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.