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Finding the Third Proportional to 426,264 and 636,471

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Solution

The third proportional to 426,264 and 636,471 is: 950,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,264 : 636,471 = 636,471 : x
  2. Step 2: Convert to fraction form
    426,264/636,471 = 636,471/x
  3. Step 3: Cross multiply
    426,264x = 636,471 × 636,471
  4. Step 4: Simplify right side
    426,264x = 405,095,333,841
  5. Step 5: Solve for x
    x = 405,095,333,841/426,264
  6. Step 6: Final answer
    x = 950,339.07

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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.