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Finding the Third Proportional to 289,985 and 636,707

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Solution

The third proportional to 289,985 and 636,707 is: 1,397,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,985 : 636,707 = 636,707 : x
  2. Step 2: Convert to fraction form
    289,985/636,707 = 636,707/x
  3. Step 3: Cross multiply
    289,985x = 636,707 × 636,707
  4. Step 4: Simplify right side
    289,985x = 405,395,803,849
  5. Step 5: Solve for x
    x = 405,395,803,849/289,985
  6. Step 6: Final answer
    x = 1,397,988.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.