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Finding the Third Proportional to 426,228 and 636,426

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Solution

The third proportional to 426,228 and 636,426 is: 950,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,228 : 636,426 = 636,426 : x
  2. Step 2: Convert to fraction form
    426,228/636,426 = 636,426/x
  3. Step 3: Cross multiply
    426,228x = 636,426 × 636,426
  4. Step 4: Simplify right side
    426,228x = 405,038,053,476
  5. Step 5: Solve for x
    x = 405,038,053,476/426,228
  6. Step 6: Final answer
    x = 950,284.95

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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.