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Finding the Third Proportional to 302,802 and 636,969

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Solution

The third proportional to 302,802 and 636,969 is: 1,339,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,802 : 636,969 = 636,969 : x
  2. Step 2: Convert to fraction form
    302,802/636,969 = 636,969/x
  3. Step 3: Cross multiply
    302,802x = 636,969 × 636,969
  4. Step 4: Simplify right side
    302,802x = 405,729,506,961
  5. Step 5: Solve for x
    x = 405,729,506,961/302,802
  6. Step 6: Final answer
    x = 1,339,916.87

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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.