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Finding the Third Proportional to 302,904 and 637,164

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Solution

The third proportional to 302,904 and 637,164 is: 1,340,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,904 : 637,164 = 637,164 : x
  2. Step 2: Convert to fraction form
    302,904/637,164 = 637,164/x
  3. Step 3: Cross multiply
    302,904x = 637,164 × 637,164
  4. Step 4: Simplify right side
    302,904x = 405,977,962,896
  5. Step 5: Solve for x
    x = 405,977,962,896/302,904
  6. Step 6: Final answer
    x = 1,340,285.91

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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.