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Finding the Third Proportional to 302,826.75 and 637,006.50

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Solution

The third proportional to 302,826.75 and 637,006.50 is: 1,339,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,826.75 : 637,006.50 = 637,006.50 : x
  2. Step 2: Convert to fraction form
    302,826.75/637,006.50 = 637,006.50/x
  3. Step 3: Cross multiply
    302,826.75x = 637,006.50 × 637,006.50
  4. Step 4: Simplify right side
    302,826.75x = 405,777,281,042.25
  5. Step 5: Solve for x
    x = 405,777,281,042.25/302,826.75
  6. Step 6: Final answer
    x = 1,339,965.12

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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.