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Finding the Third Proportional to 302,866 and 466,935

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Solution

The third proportional to 302,866 and 466,935 is: 719,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,866 : 466,935 = 466,935 : x
  2. Step 2: Convert to fraction form
    302,866/466,935 = 466,935/x
  3. Step 3: Cross multiply
    302,866x = 466,935 × 466,935
  4. Step 4: Simplify right side
    302,866x = 218,028,294,225
  5. Step 5: Solve for x
    x = 218,028,294,225/302,866
  6. Step 6: Final answer
    x = 719,883.69

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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.