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Finding the Third Proportional to 305,376 and 461,412

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Solution

The third proportional to 305,376 and 461,412 is: 697,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,376 : 461,412 = 461,412 : x
  2. Step 2: Convert to fraction form
    305,376/461,412 = 461,412/x
  3. Step 3: Cross multiply
    305,376x = 461,412 × 461,412
  4. Step 4: Simplify right side
    305,376x = 212,901,033,744
  5. Step 5: Solve for x
    x = 212,901,033,744/305,376
  6. Step 6: Final answer
    x = 697,176.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.