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Finding the Third Proportional to 354,927 and 516,191

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Solution

The third proportional to 354,927 and 516,191 is: 750,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,927 : 516,191 = 516,191 : x
  2. Step 2: Convert to fraction form
    354,927/516,191 = 516,191/x
  3. Step 3: Cross multiply
    354,927x = 516,191 × 516,191
  4. Step 4: Simplify right side
    354,927x = 266,453,148,481
  5. Step 5: Solve for x
    x = 266,453,148,481/354,927
  6. Step 6: Final answer
    x = 750,726.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.