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Finding the Third Proportional to 434,521 and 636,228

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Solution

The third proportional to 434,521 and 636,228 is: 931,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,521 : 636,228 = 636,228 : x
  2. Step 2: Convert to fraction form
    434,521/636,228 = 636,228/x
  3. Step 3: Cross multiply
    434,521x = 636,228 × 636,228
  4. Step 4: Simplify right side
    434,521x = 404,786,067,984
  5. Step 5: Solve for x
    x = 404,786,067,984/434,521
  6. Step 6: Final answer
    x = 931,568.48

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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.