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Finding the Third Proportional to 420,926.25 and 923,346

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Solution

The third proportional to 420,926.25 and 923,346 is: 2,025,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,926.25 : 923,346 = 923,346 : x
  2. Step 2: Convert to fraction form
    420,926.25/923,346 = 923,346/x
  3. Step 3: Cross multiply
    420,926.25x = 923,346 × 923,346
  4. Step 4: Simplify right side
    420,926.25x = 852,567,835,716
  5. Step 5: Solve for x
    x = 852,567,835,716/420,926.25
  6. Step 6: Final answer
    x = 2,025,456.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.