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Finding the Third Proportional to 333,584 and 491,553

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Solution

The third proportional to 333,584 and 491,553 is: 724,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,584 : 491,553 = 491,553 : x
  2. Step 2: Convert to fraction form
    333,584/491,553 = 491,553/x
  3. Step 3: Cross multiply
    333,584x = 491,553 × 491,553
  4. Step 4: Simplify right side
    333,584x = 241,624,351,809
  5. Step 5: Solve for x
    x = 241,624,351,809/333,584
  6. Step 6: Final answer
    x = 724,328.36

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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.