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Finding the Third Proportional to 302,631.75 and 683,226

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Solution

The third proportional to 302,631.75 and 683,226 is: 1,542,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,631.75 : 683,226 = 683,226 : x
  2. Step 2: Convert to fraction form
    302,631.75/683,226 = 683,226/x
  3. Step 3: Cross multiply
    302,631.75x = 683,226 × 683,226
  4. Step 4: Simplify right side
    302,631.75x = 466,797,767,076
  5. Step 5: Solve for x
    x = 466,797,767,076/302,631.75
  6. Step 6: Final answer
    x = 1,542,461.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.