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Finding the Third Proportional to 353,001 and 764,970

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Solution

The third proportional to 353,001 and 764,970 is: 1,657,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,001 : 764,970 = 764,970 : x
  2. Step 2: Convert to fraction form
    353,001/764,970 = 764,970/x
  3. Step 3: Cross multiply
    353,001x = 764,970 × 764,970
  4. Step 4: Simplify right side
    353,001x = 585,179,100,900
  5. Step 5: Solve for x
    x = 585,179,100,900/353,001
  6. Step 6: Final answer
    x = 1,657,726.47

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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.