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Finding the Third Proportional to 372,156 and 807,326

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Solution

The third proportional to 372,156 and 807,326 is: 1,751,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,156 : 807,326 = 807,326 : x
  2. Step 2: Convert to fraction form
    372,156/807,326 = 807,326/x
  3. Step 3: Cross multiply
    372,156x = 807,326 × 807,326
  4. Step 4: Simplify right side
    372,156x = 651,775,270,276
  5. Step 5: Solve for x
    x = 651,775,270,276/372,156
  6. Step 6: Final answer
    x = 1,751,349.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.