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Finding the Third Proportional to 201,640 and 434,778

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Solution

The third proportional to 201,640 and 434,778 is: 937,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640 : 434,778 = 434,778 : x
  2. Step 2: Convert to fraction form
    201,640/434,778 = 434,778/x
  3. Step 3: Cross multiply
    201,640x = 434,778 × 434,778
  4. Step 4: Simplify right side
    201,640x = 189,031,909,284
  5. Step 5: Solve for x
    x = 189,031,909,284/201,640
  6. Step 6: Final answer
    x = 937,472.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.