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Finding the Third Proportional to 302,683.50 and 636,735.94

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Solution

The third proportional to 302,683.50 and 636,735.94 is: 1,339,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,683.50 : 636,735.94 = 636,735.94 : x
  2. Step 2: Convert to fraction form
    302,683.50/636,735.94 = 636,735.94/x
  3. Step 3: Cross multiply
    302,683.50x = 636,735.94 × 636,735.94
  4. Step 4: Simplify right side
    302,683.50x = 405,432,654,104.00
  5. Step 5: Solve for x
    x = 405,432,654,104.00/302,683.50
  6. Step 6: Final answer
    x = 1,339,460.70

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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.