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Finding the Third Proportional to 301,362 and 466,928

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Solution

The third proportional to 301,362 and 466,928 is: 723,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,362 : 466,928 = 466,928 : x
  2. Step 2: Convert to fraction form
    301,362/466,928 = 466,928/x
  3. Step 3: Cross multiply
    301,362x = 466,928 × 466,928
  4. Step 4: Simplify right side
    301,362x = 218,021,757,184
  5. Step 5: Solve for x
    x = 218,021,757,184/301,362
  6. Step 6: Final answer
    x = 723,454.71

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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.