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Finding the Third Proportional to 302,080 and 468,672

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Solution

The third proportional to 302,080 and 468,672 is: 727,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,080 : 468,672 = 468,672 : x
  2. Step 2: Convert to fraction form
    302,080/468,672 = 468,672/x
  3. Step 3: Cross multiply
    302,080x = 468,672 × 468,672
  4. Step 4: Simplify right side
    302,080x = 219,653,443,584
  5. Step 5: Solve for x
    x = 219,653,443,584/302,080
  6. Step 6: Final answer
    x = 727,136.66

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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.