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Finding the Third Proportional to 306,944 and 466,816

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Solution

The third proportional to 306,944 and 466,816 is: 709,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,944 : 466,816 = 466,816 : x
  2. Step 2: Convert to fraction form
    306,944/466,816 = 466,816/x
  3. Step 3: Cross multiply
    306,944x = 466,816 × 466,816
  4. Step 4: Simplify right side
    306,944x = 217,917,177,856
  5. Step 5: Solve for x
    x = 217,917,177,856/306,944
  6. Step 6: Final answer
    x = 709,957.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.