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Finding the Third Proportional to 306,387 and 654,858

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Solution

The third proportional to 306,387 and 654,858 is: 1,399,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,387 : 654,858 = 654,858 : x
  2. Step 2: Convert to fraction form
    306,387/654,858 = 654,858/x
  3. Step 3: Cross multiply
    306,387x = 654,858 × 654,858
  4. Step 4: Simplify right side
    306,387x = 428,839,000,164
  5. Step 5: Solve for x
    x = 428,839,000,164/306,387
  6. Step 6: Final answer
    x = 1,399,664.48

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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.