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Finding the Third Proportional to 302,281 and 471,806

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Solution

The third proportional to 302,281 and 471,806 is: 736,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,281 : 471,806 = 471,806 : x
  2. Step 2: Convert to fraction form
    302,281/471,806 = 471,806/x
  3. Step 3: Cross multiply
    302,281x = 471,806 × 471,806
  4. Step 4: Simplify right side
    302,281x = 222,600,901,636
  5. Step 5: Solve for x
    x = 222,600,901,636/302,281
  6. Step 6: Final answer
    x = 736,403.88

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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.