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Finding the Third Proportional to 301,349 and 466,907

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Solution

The third proportional to 301,349 and 466,907 is: 723,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,349 : 466,907 = 466,907 : x
  2. Step 2: Convert to fraction form
    301,349/466,907 = 466,907/x
  3. Step 3: Cross multiply
    301,349x = 466,907 × 466,907
  4. Step 4: Simplify right side
    301,349x = 218,002,146,649
  5. Step 5: Solve for x
    x = 218,002,146,649/301,349
  6. Step 6: Final answer
    x = 723,420.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.