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Finding the Third Proportional to 436,025 and 636,781

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Solution

The third proportional to 436,025 and 636,781 is: 929,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,025 : 636,781 = 636,781 : x
  2. Step 2: Convert to fraction form
    436,025/636,781 = 636,781/x
  3. Step 3: Cross multiply
    436,025x = 636,781 × 636,781
  4. Step 4: Simplify right side
    436,025x = 405,490,041,961
  5. Step 5: Solve for x
    x = 405,490,041,961/436,025
  6. Step 6: Final answer
    x = 929,969.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.