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Finding the Third Proportional to 209,719 and 333,581

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Solution

The third proportional to 209,719 and 333,581 is: 530,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,719 : 333,581 = 333,581 : x
  2. Step 2: Convert to fraction form
    209,719/333,581 = 333,581/x
  3. Step 3: Cross multiply
    209,719x = 333,581 × 333,581
  4. Step 4: Simplify right side
    209,719x = 111,276,283,561
  5. Step 5: Solve for x
    x = 111,276,283,561/209,719
  6. Step 6: Final answer
    x = 530,597.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.