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Finding the Third Proportional to 304,484 and 641,792

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Solution

The third proportional to 304,484 and 641,792 is: 1,352,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,484 : 641,792 = 641,792 : x
  2. Step 2: Convert to fraction form
    304,484/641,792 = 641,792/x
  3. Step 3: Cross multiply
    304,484x = 641,792 × 641,792
  4. Step 4: Simplify right side
    304,484x = 411,896,971,264
  5. Step 5: Solve for x
    x = 411,896,971,264/304,484
  6. Step 6: Final answer
    x = 1,352,770.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.