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Finding the Third Proportional to 302,903 and 475,205

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Solution

The third proportional to 302,903 and 475,205 is: 745,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,903 : 475,205 = 475,205 : x
  2. Step 2: Convert to fraction form
    302,903/475,205 = 475,205/x
  3. Step 3: Cross multiply
    302,903x = 475,205 × 475,205
  4. Step 4: Simplify right side
    302,903x = 225,819,792,025
  5. Step 5: Solve for x
    x = 225,819,792,025/302,903
  6. Step 6: Final answer
    x = 745,518.51

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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.