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Finding the Third Proportional to 208,599 and 446,710

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Solution

The third proportional to 208,599 and 446,710 is: 956,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,599 : 446,710 = 446,710 : x
  2. Step 2: Convert to fraction form
    208,599/446,710 = 446,710/x
  3. Step 3: Cross multiply
    208,599x = 446,710 × 446,710
  4. Step 4: Simplify right side
    208,599x = 199,549,824,100
  5. Step 5: Solve for x
    x = 199,549,824,100/208,599
  6. Step 6: Final answer
    x = 956,619.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.