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Finding the Third Proportional to 303,050 and 475,419

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Solution

The third proportional to 303,050 and 475,419 is: 745,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,050 : 475,419 = 475,419 : x
  2. Step 2: Convert to fraction form
    303,050/475,419 = 475,419/x
  3. Step 3: Cross multiply
    303,050x = 475,419 × 475,419
  4. Step 4: Simplify right side
    303,050x = 226,023,225,561
  5. Step 5: Solve for x
    x = 226,023,225,561/303,050
  6. Step 6: Final answer
    x = 745,828.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.