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Finding the Third Proportional to 201,426 and 426,780

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Solution

The third proportional to 201,426 and 426,780 is: 904,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,426 : 426,780 = 426,780 : x
  2. Step 2: Convert to fraction form
    201,426/426,780 = 426,780/x
  3. Step 3: Cross multiply
    201,426x = 426,780 × 426,780
  4. Step 4: Simplify right side
    201,426x = 182,141,168,400
  5. Step 5: Solve for x
    x = 182,141,168,400/201,426
  6. Step 6: Final answer
    x = 904,258.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.