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Finding the Third Proportional to 306,478.69 and 668,134.69

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Solution

The third proportional to 306,478.69 and 668,134.69 is: 1,456,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,478.69 : 668,134.69 = 668,134.69 : x
  2. Step 2: Convert to fraction form
    306,478.69/668,134.69 = 668,134.69/x
  3. Step 3: Cross multiply
    306,478.69x = 668,134.69 × 668,134.69
  4. Step 4: Simplify right side
    306,478.69x = 446,403,960,640.72
  5. Step 5: Solve for x
    x = 446,403,960,640.72/306,478.69
  6. Step 6: Final answer
    x = 1,456,557.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.