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Finding the Third Proportional to 299,696 and 637,534

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Solution

The third proportional to 299,696 and 637,534 is: 1,356,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,696 : 637,534 = 637,534 : x
  2. Step 2: Convert to fraction form
    299,696/637,534 = 637,534/x
  3. Step 3: Cross multiply
    299,696x = 637,534 × 637,534
  4. Step 4: Simplify right side
    299,696x = 406,449,601,156
  5. Step 5: Solve for x
    x = 406,449,601,156/299,696
  6. Step 6: Final answer
    x = 1,356,206.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.