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Finding the Third Proportional to 302,583 and 401,385

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Solution

The third proportional to 302,583 and 401,385 is: 532,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,583 : 401,385 = 401,385 : x
  2. Step 2: Convert to fraction form
    302,583/401,385 = 401,385/x
  3. Step 3: Cross multiply
    302,583x = 401,385 × 401,385
  4. Step 4: Simplify right side
    302,583x = 161,109,918,225
  5. Step 5: Solve for x
    x = 161,109,918,225/302,583
  6. Step 6: Final answer
    x = 532,448.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.