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Finding the Third Proportional to 302,634 and 468,306

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Solution

The third proportional to 302,634 and 468,306 is: 724,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,634 : 468,306 = 468,306 : x
  2. Step 2: Convert to fraction form
    302,634/468,306 = 468,306/x
  3. Step 3: Cross multiply
    302,634x = 468,306 × 468,306
  4. Step 4: Simplify right side
    302,634x = 219,310,509,636
  5. Step 5: Solve for x
    x = 219,310,509,636/302,634
  6. Step 6: Final answer
    x = 724,672.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.