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Finding the Third Proportional to 301,419 and 410,483.25

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Solution

The third proportional to 301,419 and 410,483.25 is: 559,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,419 : 410,483.25 = 410,483.25 : x
  2. Step 2: Convert to fraction form
    301,419/410,483.25 = 410,483.25/x
  3. Step 3: Cross multiply
    301,419x = 410,483.25 × 410,483.25
  4. Step 4: Simplify right side
    301,419x = 168,496,498,530.56
  5. Step 5: Solve for x
    x = 168,496,498,530.56/301,419
  6. Step 6: Final answer
    x = 559,010.87

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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.