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Finding the Third Proportional to 333,586 and 491,556

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Solution

The third proportional to 333,586 and 491,556 is: 724,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,586 : 491,556 = 491,556 : x
  2. Step 2: Convert to fraction form
    333,586/491,556 = 491,556/x
  3. Step 3: Cross multiply
    333,586x = 491,556 × 491,556
  4. Step 4: Simplify right side
    333,586x = 241,627,301,136
  5. Step 5: Solve for x
    x = 241,627,301,136/333,586
  6. Step 6: Final answer
    x = 724,332.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.