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Finding the Third Proportional to 426,284 and 636,496

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Solution

The third proportional to 426,284 and 636,496 is: 950,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,284 : 636,496 = 636,496 : x
  2. Step 2: Convert to fraction form
    426,284/636,496 = 636,496/x
  3. Step 3: Cross multiply
    426,284x = 636,496 × 636,496
  4. Step 4: Simplify right side
    426,284x = 405,127,158,016
  5. Step 5: Solve for x
    x = 405,127,158,016/426,284
  6. Step 6: Final answer
    x = 950,369.14

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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.