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Finding the Third Proportional to 305,385 and 475,529

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Solution

The third proportional to 305,385 and 475,529 is: 740,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,385 : 475,529 = 475,529 : x
  2. Step 2: Convert to fraction form
    305,385/475,529 = 475,529/x
  3. Step 3: Cross multiply
    305,385x = 475,529 × 475,529
  4. Step 4: Simplify right side
    305,385x = 226,127,829,841
  5. Step 5: Solve for x
    x = 226,127,829,841/305,385
  6. Step 6: Final answer
    x = 740,468.03

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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.