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Finding the Third Proportional to 193,460 and 434,536

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Solution

The third proportional to 193,460 and 434,536 is: 976,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,460 : 434,536 = 434,536 : x
  2. Step 2: Convert to fraction form
    193,460/434,536 = 434,536/x
  3. Step 3: Cross multiply
    193,460x = 434,536 × 434,536
  4. Step 4: Simplify right side
    193,460x = 188,821,535,296
  5. Step 5: Solve for x
    x = 188,821,535,296/193,460
  6. Step 6: Final answer
    x = 976,023.65

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.