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Finding the Third Proportional to 302,824 and 637,035

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Solution

The third proportional to 302,824 and 637,035 is: 1,340,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,824 : 637,035 = 637,035 : x
  2. Step 2: Convert to fraction form
    302,824/637,035 = 637,035/x
  3. Step 3: Cross multiply
    302,824x = 637,035 × 637,035
  4. Step 4: Simplify right side
    302,824x = 405,813,591,225
  5. Step 5: Solve for x
    x = 405,813,591,225/302,824
  6. Step 6: Final answer
    x = 1,340,097.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.