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Finding the Third Proportional to 291,108 and 636,527

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Solution

The third proportional to 291,108 and 636,527 is: 1,391,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,108 : 636,527 = 636,527 : x
  2. Step 2: Convert to fraction form
    291,108/636,527 = 636,527/x
  3. Step 3: Cross multiply
    291,108x = 636,527 × 636,527
  4. Step 4: Simplify right side
    291,108x = 405,166,621,729
  5. Step 5: Solve for x
    x = 405,166,621,729/291,108
  6. Step 6: Final answer
    x = 1,391,808.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.