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Finding the Third Proportional to 201,962 and 424,816

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Solution

The third proportional to 201,962 and 424,816 is: 893,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,962 : 424,816 = 424,816 : x
  2. Step 2: Convert to fraction form
    201,962/424,816 = 424,816/x
  3. Step 3: Cross multiply
    201,962x = 424,816 × 424,816
  4. Step 4: Simplify right side
    201,962x = 180,468,633,856
  5. Step 5: Solve for x
    x = 180,468,633,856/201,962
  6. Step 6: Final answer
    x = 893,577.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.