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Finding the Third Proportional to 292,600 and 638,816

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Solution

The third proportional to 292,600 and 638,816 is: 1,394,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,600 : 638,816 = 638,816 : x
  2. Step 2: Convert to fraction form
    292,600/638,816 = 638,816/x
  3. Step 3: Cross multiply
    292,600x = 638,816 × 638,816
  4. Step 4: Simplify right side
    292,600x = 408,085,881,856
  5. Step 5: Solve for x
    x = 408,085,881,856/292,600
  6. Step 6: Final answer
    x = 1,394,688.59

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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.