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Finding the Third Proportional to 302,938 and 475,254

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Solution

The third proportional to 302,938 and 475,254 is: 745,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,938 : 475,254 = 475,254 : x
  2. Step 2: Convert to fraction form
    302,938/475,254 = 475,254/x
  3. Step 3: Cross multiply
    302,938x = 475,254 × 475,254
  4. Step 4: Simplify right side
    302,938x = 225,866,364,516
  5. Step 5: Solve for x
    x = 225,866,364,516/302,938
  6. Step 6: Final answer
    x = 745,586.11

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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.