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Finding the Third Proportional to 208,725 and 454,710

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Solution

The third proportional to 208,725 and 454,710 is: 990,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,725 : 454,710 = 454,710 : x
  2. Step 2: Convert to fraction form
    208,725/454,710 = 454,710/x
  3. Step 3: Cross multiply
    208,725x = 454,710 × 454,710
  4. Step 4: Simplify right side
    208,725x = 206,761,184,100
  5. Step 5: Solve for x
    x = 206,761,184,100/208,725
  6. Step 6: Final answer
    x = 990,591.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.