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Finding the Third Proportional to 201,952 and 424,796

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Solution

The third proportional to 201,952 and 424,796 is: 893,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,952 : 424,796 = 424,796 : x
  2. Step 2: Convert to fraction form
    201,952/424,796 = 424,796/x
  3. Step 3: Cross multiply
    201,952x = 424,796 × 424,796
  4. Step 4: Simplify right side
    201,952x = 180,451,641,616
  5. Step 5: Solve for x
    x = 180,451,641,616/201,952
  6. Step 6: Final answer
    x = 893,537.28

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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.