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Finding the Third Proportional to 301,429 and 410,497

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Solution

The third proportional to 301,429 and 410,497 is: 559,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,429 : 410,497 = 410,497 : x
  2. Step 2: Convert to fraction form
    301,429/410,497 = 410,497/x
  3. Step 3: Cross multiply
    301,429x = 410,497 × 410,497
  4. Step 4: Simplify right side
    301,429x = 168,507,787,009
  5. Step 5: Solve for x
    x = 168,507,787,009/301,429
  6. Step 6: Final answer
    x = 559,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.