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Finding the Third Proportional to 270,426 and 420,921

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Solution

The third proportional to 270,426 and 420,921 is: 655,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,426 : 420,921 = 420,921 : x
  2. Step 2: Convert to fraction form
    270,426/420,921 = 420,921/x
  3. Step 3: Cross multiply
    270,426x = 420,921 × 420,921
  4. Step 4: Simplify right side
    270,426x = 177,174,488,241
  5. Step 5: Solve for x
    x = 177,174,488,241/270,426
  6. Step 6: Final answer
    x = 655,168.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.