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Finding the Third Proportional to 302,865 and 466,933

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Solution

The third proportional to 302,865 and 466,933 is: 719,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,865 : 466,933 = 466,933 : x
  2. Step 2: Convert to fraction form
    302,865/466,933 = 466,933/x
  3. Step 3: Cross multiply
    302,865x = 466,933 × 466,933
  4. Step 4: Simplify right side
    302,865x = 218,026,426,489
  5. Step 5: Solve for x
    x = 218,026,426,489/302,865
  6. Step 6: Final answer
    x = 719,879.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.