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Finding the Third Proportional to 207,362 and 427,810

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Solution

The third proportional to 207,362 and 427,810 is: 882,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362 : 427,810 = 427,810 : x
  2. Step 2: Convert to fraction form
    207,362/427,810 = 427,810/x
  3. Step 3: Cross multiply
    207,362x = 427,810 × 427,810
  4. Step 4: Simplify right side
    207,362x = 183,021,396,100
  5. Step 5: Solve for x
    x = 183,021,396,100/207,362
  6. Step 6: Final answer
    x = 882,617.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.