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Finding the Third Proportional to 426,240 and 636,441

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Solution

The third proportional to 426,240 and 636,441 is: 950,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,240 : 636,441 = 636,441 : x
  2. Step 2: Convert to fraction form
    426,240/636,441 = 636,441/x
  3. Step 3: Cross multiply
    426,240x = 636,441 × 636,441
  4. Step 4: Simplify right side
    426,240x = 405,057,146,481
  5. Step 5: Solve for x
    x = 405,057,146,481/426,240
  6. Step 6: Final answer
    x = 950,302.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.