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Finding the Third Proportional to 302,826.75 and 637,023

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Solution

The third proportional to 302,826.75 and 637,023 is: 1,340,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,826.75 : 637,023 = 637,023 : x
  2. Step 2: Convert to fraction form
    302,826.75/637,023 = 637,023/x
  3. Step 3: Cross multiply
    302,826.75x = 637,023 × 637,023
  4. Step 4: Simplify right side
    302,826.75x = 405,798,302,529
  5. Step 5: Solve for x
    x = 405,798,302,529/302,826.75
  6. Step 6: Final answer
    x = 1,340,034.53

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