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Finding the Third Proportional to 302,642 and 468,318

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Solution

The third proportional to 302,642 and 468,318 is: 724,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,642 : 468,318 = 468,318 : x
  2. Step 2: Convert to fraction form
    302,642/468,318 = 468,318/x
  3. Step 3: Cross multiply
    302,642x = 468,318 × 468,318
  4. Step 4: Simplify right side
    302,642x = 219,321,749,124
  5. Step 5: Solve for x
    x = 219,321,749,124/302,642
  6. Step 6: Final answer
    x = 724,690.39

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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.