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Finding the Third Proportional to 345,696 and 533,295

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Solution

The third proportional to 345,696 and 533,295 is: 822,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,696 : 533,295 = 533,295 : x
  2. Step 2: Convert to fraction form
    345,696/533,295 = 533,295/x
  3. Step 3: Cross multiply
    345,696x = 533,295 × 533,295
  4. Step 4: Simplify right side
    345,696x = 284,403,557,025
  5. Step 5: Solve for x
    x = 284,403,557,025/345,696
  6. Step 6: Final answer
    x = 822,698.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.